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Finding the Third Proportional to 80.81 and 117.47

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Solution

The third proportional to 80.81 and 117.47 is: 170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.81 : 117.47 = 117.47 : x
  2. Step 2: Convert to fraction form
    80.81/117.47 = 117.47/x
  3. Step 3: Cross multiply
    80.81x = 117.47 × 117.47
  4. Step 4: Simplify right side
    80.81x = 13,798.91
  5. Step 5: Solve for x
    x = 13,798.91/80.81
  6. Step 6: Final answer
    x = 170.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.