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Finding the Third Proportional to 62.81 and 91.03

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Solution

The third proportional to 62.81 and 91.03 is: 131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.81 : 91.03 = 91.03 : x
  2. Step 2: Convert to fraction form
    62.81/91.03 = 91.03/x
  3. Step 3: Cross multiply
    62.81x = 91.03 × 91.03
  4. Step 4: Simplify right side
    62.81x = 8,286.69
  5. Step 5: Solve for x
    x = 8,286.69/62.81
  6. Step 6: Final answer
    x = 131.93

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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.