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Finding the Third Proportional to 392,432 and 607,512

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Solution

The third proportional to 392,432 and 607,512 is: 940,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,432 : 607,512 = 607,512 : x
  2. Step 2: Convert to fraction form
    392,432/607,512 = 607,512/x
  3. Step 3: Cross multiply
    392,432x = 607,512 × 607,512
  4. Step 4: Simplify right side
    392,432x = 369,070,830,144
  5. Step 5: Solve for x
    x = 369,070,830,144/392,432
  6. Step 6: Final answer
    x = 940,470.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.