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Finding the Third Proportional to 62.69 and 135.31

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Solution

The third proportional to 62.69 and 135.31 is: 292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.69 : 135.31 = 135.31 : x
  2. Step 2: Convert to fraction form
    62.69/135.31 = 135.31/x
  3. Step 3: Cross multiply
    62.69x = 135.31 × 135.31
  4. Step 4: Simplify right side
    62.69x = 18,309.47
  5. Step 5: Solve for x
    x = 18,309.47/62.69
  6. Step 6: Final answer
    x = 292.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.