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Finding the Third Proportional to 136.31 and 233.91

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Solution

The third proportional to 136.31 and 233.91 is: 401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.31 : 233.91 = 233.91 : x
  2. Step 2: Convert to fraction form
    136.31/233.91 = 233.91/x
  3. Step 3: Cross multiply
    136.31x = 233.91 × 233.91
  4. Step 4: Simplify right side
    136.31x = 54,712.13
  5. Step 5: Solve for x
    x = 54,712.13/136.31
  6. Step 6: Final answer
    x = 401.37

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.