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Finding the Third Proportional to 623,079 and 891,015

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Solution

The third proportional to 623,079 and 891,015 is: 1,274,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,079 : 891,015 = 891,015 : x
  2. Step 2: Convert to fraction form
    623,079/891,015 = 891,015/x
  3. Step 3: Cross multiply
    623,079x = 891,015 × 891,015
  4. Step 4: Simplify right side
    623,079x = 793,907,730,225
  5. Step 5: Solve for x
    x = 793,907,730,225/623,079
  6. Step 6: Final answer
    x = 1,274,168.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.