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Finding the Third Proportional to 96 and 126.28

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Solution

The third proportional to 96 and 126.28 is: 166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 126.28 = 126.28 : x
  2. Step 2: Convert to fraction form
    96/126.28 = 126.28/x
  3. Step 3: Cross multiply
    96x = 126.28 × 126.28
  4. Step 4: Simplify right side
    96x = 15,946.95
  5. Step 5: Solve for x
    x = 15,946.95/96
  6. Step 6: Final answer
    x = 166.11

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.