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Finding the Third Proportional to 102.52 and 134.55

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Solution

The third proportional to 102.52 and 134.55 is: 176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 134.55 = 134.55 : x
  2. Step 2: Convert to fraction form
    102.52/134.55 = 134.55/x
  3. Step 3: Cross multiply
    102.52x = 134.55 × 134.55
  4. Step 4: Simplify right side
    102.52x = 18,104.18
  5. Step 5: Solve for x
    x = 18,104.18/102.52
  6. Step 6: Final answer
    x = 176.60

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.