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Finding the Third Proportional to 392,428 and 607,506

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Solution

The third proportional to 392,428 and 607,506 is: 940,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,428 : 607,506 = 607,506 : x
  2. Step 2: Convert to fraction form
    392,428/607,506 = 607,506/x
  3. Step 3: Cross multiply
    392,428x = 607,506 × 607,506
  4. Step 4: Simplify right side
    392,428x = 369,063,540,036
  5. Step 5: Solve for x
    x = 369,063,540,036/392,428
  6. Step 6: Final answer
    x = 940,461.79

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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.