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Finding the Third Proportional to 63.08 and 135.81

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Solution

The third proportional to 63.08 and 135.81 is: 292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.08 : 135.81 = 135.81 : x
  2. Step 2: Convert to fraction form
    63.08/135.81 = 135.81/x
  3. Step 3: Cross multiply
    63.08x = 135.81 × 135.81
  4. Step 4: Simplify right side
    63.08x = 18,445.57
  5. Step 5: Solve for x
    x = 18,445.57/63.08
  6. Step 6: Final answer
    x = 292.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.