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Finding the Third Proportional to 137.67 and 151.17

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Solution

The third proportional to 137.67 and 151.17 is: 166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.67 : 151.17 = 151.17 : x
  2. Step 2: Convert to fraction form
    137.67/151.17 = 151.17/x
  3. Step 3: Cross multiply
    137.67x = 151.17 × 151.17
  4. Step 4: Simplify right side
    137.67x = 22,852.94
  5. Step 5: Solve for x
    x = 22,852.94/137.67
  6. Step 6: Final answer
    x = 166.00

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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.