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Finding the Third Proportional to 80.81 and 117.80

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Solution

The third proportional to 80.81 and 117.80 is: 171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.81 : 117.80 = 117.80 : x
  2. Step 2: Convert to fraction form
    80.81/117.80 = 117.80/x
  3. Step 3: Cross multiply
    80.81x = 117.80 × 117.80
  4. Step 4: Simplify right side
    80.81x = 13,876.10
  5. Step 5: Solve for x
    x = 13,876.10/80.81
  6. Step 6: Final answer
    x = 171.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.