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Finding the Third Proportional to 392,438 and 607,521

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Solution

The third proportional to 392,438 and 607,521 is: 940,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,438 : 607,521 = 607,521 : x
  2. Step 2: Convert to fraction form
    392,438/607,521 = 607,521/x
  3. Step 3: Cross multiply
    392,438x = 607,521 × 607,521
  4. Step 4: Simplify right side
    392,438x = 369,081,765,441
  5. Step 5: Solve for x
    x = 369,081,765,441/392,438
  6. Step 6: Final answer
    x = 940,484.27

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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.