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Finding the Third Proportional to 34.13 and 66.53

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Solution

The third proportional to 34.13 and 66.53 is: 129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.13 : 66.53 = 66.53 : x
  2. Step 2: Convert to fraction form
    34.13/66.53 = 66.53/x
  3. Step 3: Cross multiply
    34.13x = 66.53 × 66.53
  4. Step 4: Simplify right side
    34.13x = 4,426.41
  5. Step 5: Solve for x
    x = 4,426.41/34.13
  6. Step 6: Final answer
    x = 129.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.