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Finding the Third Proportional to 137 and 151.25

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Solution

The third proportional to 137 and 151.25 is: 166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 151.25 = 151.25 : x
  2. Step 2: Convert to fraction form
    137/151.25 = 151.25/x
  3. Step 3: Cross multiply
    137x = 151.25 × 151.25
  4. Step 4: Simplify right side
    137x = 22,876.56
  5. Step 5: Solve for x
    x = 22,876.56/137
  6. Step 6: Final answer
    x = 166.98

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.