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Finding the Third Proportional to 217,981.13 and 318,358.13

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Solution

The third proportional to 217,981.13 and 318,358.13 is: 464,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,981.13 : 318,358.13 = 318,358.13 : x
  2. Step 2: Convert to fraction form
    217,981.13/318,358.13 = 318,358.13/x
  3. Step 3: Cross multiply
    217,981.13x = 318,358.13 × 318,358.13
  4. Step 4: Simplify right side
    217,981.13x = 101,351,895,753.52
  5. Step 5: Solve for x
    x = 101,351,895,753.52/217,981.13
  6. Step 6: Final answer
    x = 464,957.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.