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Finding the Third Proportional to 317,540 and 432,438

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Solution

The third proportional to 317,540 and 432,438 is: 588,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,540 : 432,438 = 432,438 : x
  2. Step 2: Convert to fraction form
    317,540/432,438 = 432,438/x
  3. Step 3: Cross multiply
    317,540x = 432,438 × 432,438
  4. Step 4: Simplify right side
    317,540x = 187,002,623,844
  5. Step 5: Solve for x
    x = 187,002,623,844/317,540
  6. Step 6: Final answer
    x = 588,910.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.