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Finding the Third Proportional to 387,554.63 and 822,015.84

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Solution

The third proportional to 387,554.63 and 822,015.84 is: 1,743,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,554.63 : 822,015.84 = 822,015.84 : x
  2. Step 2: Convert to fraction form
    387,554.63/822,015.84 = 822,015.84/x
  3. Step 3: Cross multiply
    387,554.63x = 822,015.84 × 822,015.84
  4. Step 4: Simplify right side
    387,554.63x = 675,710,047,376.02
  5. Step 5: Solve for x
    x = 675,710,047,376.02/387,554.63
  6. Step 6: Final answer
    x = 1,743,522.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.