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Finding the Third Proportional to 63.09 and 135.89

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Solution

The third proportional to 63.09 and 135.89 is: 292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.09 : 135.89 = 135.89 : x
  2. Step 2: Convert to fraction form
    63.09/135.89 = 135.89/x
  3. Step 3: Cross multiply
    63.09x = 135.89 × 135.89
  4. Step 4: Simplify right side
    63.09x = 18,466.26
  5. Step 5: Solve for x
    x = 18,466.26/63.09
  6. Step 6: Final answer
    x = 292.68

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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.