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Finding the Third Proportional to 217.31 and 349.13

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Solution

The third proportional to 217.31 and 349.13 is: 560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.31 : 349.13 = 349.13 : x
  2. Step 2: Convert to fraction form
    217.31/349.13 = 349.13/x
  3. Step 3: Cross multiply
    217.31x = 349.13 × 349.13
  4. Step 4: Simplify right side
    217.31x = 121,888.27
  5. Step 5: Solve for x
    x = 121,888.27/217.31
  6. Step 6: Final answer
    x = 560.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.