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Finding the Third Proportional to 368,350,525,678.50 and 801,563,015,680.35

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Solution

The third proportional to 368,350,525,678.50 and 801,563,015,680.35 is: 1,744,271,348,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,350,525,678.50 : 801,563,015,680.35 = 801,563,015,680.35 : x
  2. Step 2: Convert to fraction form
    368,350,525,678.50/801,563,015,680.35 = 801,563,015,680.35/x
  3. Step 3: Cross multiply
    368,350,525,678.50x = 801,563,015,680.35 × 801,563,015,680.35
  4. Step 4: Simplify right side
    368,350,525,678.50x = 642,503,268,106,577,020,715,008
  5. Step 5: Solve for x
    x = 642,503,268,106,577,020,715,008/368,350,525,678.50
  6. Step 6: Final answer
    x = 1,744,271,348,393.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.