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Finding the Third Proportional to 52.44 and 81.19

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Solution

The third proportional to 52.44 and 81.19 is: 125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.44 : 81.19 = 81.19 : x
  2. Step 2: Convert to fraction form
    52.44/81.19 = 81.19/x
  3. Step 3: Cross multiply
    52.44x = 81.19 × 81.19
  4. Step 4: Simplify right side
    52.44x = 6,591.41
  5. Step 5: Solve for x
    x = 6,591.41/52.44
  6. Step 6: Final answer
    x = 125.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.