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Finding the Third Proportional to 143,784 and 217,691

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Solution

The third proportional to 143,784 and 217,691 is: 329,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,784 : 217,691 = 217,691 : x
  2. Step 2: Convert to fraction form
    143,784/217,691 = 217,691/x
  3. Step 3: Cross multiply
    143,784x = 217,691 × 217,691
  4. Step 4: Simplify right side
    143,784x = 47,389,371,481
  5. Step 5: Solve for x
    x = 47,389,371,481/143,784
  6. Step 6: Final answer
    x = 329,587.24

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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.