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Finding the Third Proportional to 63.49 and 90.81

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Solution

The third proportional to 63.49 and 90.81 is: 129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.49 : 90.81 = 90.81 : x
  2. Step 2: Convert to fraction form
    63.49/90.81 = 90.81/x
  3. Step 3: Cross multiply
    63.49x = 90.81 × 90.81
  4. Step 4: Simplify right side
    63.49x = 8,246.20
  5. Step 5: Solve for x
    x = 8,246.20/63.49
  6. Step 6: Final answer
    x = 129.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.