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Finding the Third Proportional to 80.53 and 129.66

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Solution

The third proportional to 80.53 and 129.66 is: 208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.53 : 129.66 = 129.66 : x
  2. Step 2: Convert to fraction form
    80.53/129.66 = 129.66/x
  3. Step 3: Cross multiply
    80.53x = 129.66 × 129.66
  4. Step 4: Simplify right side
    80.53x = 16,810.74
  5. Step 5: Solve for x
    x = 16,810.74/80.53
  6. Step 6: Final answer
    x = 208.75

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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.