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Finding the Third Proportional to 143,842 and 217,757

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Solution

The third proportional to 143,842 and 217,757 is: 329,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,842 : 217,757 = 217,757 : x
  2. Step 2: Convert to fraction form
    143,842/217,757 = 217,757/x
  3. Step 3: Cross multiply
    143,842x = 217,757 × 217,757
  4. Step 4: Simplify right side
    143,842x = 47,418,111,049
  5. Step 5: Solve for x
    x = 47,418,111,049/143,842
  6. Step 6: Final answer
    x = 329,654.14

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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.