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Finding the Third Proportional to 398,387 and 600,915

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Solution

The third proportional to 398,387 and 600,915 is: 906,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,387 : 600,915 = 600,915 : x
  2. Step 2: Convert to fraction form
    398,387/600,915 = 600,915/x
  3. Step 3: Cross multiply
    398,387x = 600,915 × 600,915
  4. Step 4: Simplify right side
    398,387x = 361,098,837,225
  5. Step 5: Solve for x
    x = 361,098,837,225/398,387
  6. Step 6: Final answer
    x = 906,402.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.