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Finding the Third Proportional to 106.50 and 151.13

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Solution

The third proportional to 106.50 and 151.13 is: 214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 151.13 = 151.13 : x
  2. Step 2: Convert to fraction form
    106.50/151.13 = 151.13/x
  3. Step 3: Cross multiply
    106.50x = 151.13 × 151.13
  4. Step 4: Simplify right side
    106.50x = 22,838.77
  5. Step 5: Solve for x
    x = 22,838.77/106.50
  6. Step 6: Final answer
    x = 214.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.