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Finding the Third Proportional to 63.25 and 85.88

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Solution

The third proportional to 63.25 and 85.88 is: 116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.25 : 85.88 = 85.88 : x
  2. Step 2: Convert to fraction form
    63.25/85.88 = 85.88/x
  3. Step 3: Cross multiply
    63.25x = 85.88 × 85.88
  4. Step 4: Simplify right side
    63.25x = 7,374.52
  5. Step 5: Solve for x
    x = 7,374.52/63.25
  6. Step 6: Final answer
    x = 116.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.