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Finding the Third Proportional to 102.52 and 117.14

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Solution

The third proportional to 102.52 and 117.14 is: 133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 117.14 = 117.14 : x
  2. Step 2: Convert to fraction form
    102.52/117.14 = 117.14/x
  3. Step 3: Cross multiply
    102.52x = 117.14 × 117.14
  4. Step 4: Simplify right side
    102.52x = 13,721.93
  5. Step 5: Solve for x
    x = 13,721.93/102.52
  6. Step 6: Final answer
    x = 133.85

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.