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Finding the Third Proportional to 71.16 and 96.61

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Solution

The third proportional to 71.16 and 96.61 is: 131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.16 : 96.61 = 96.61 : x
  2. Step 2: Convert to fraction form
    71.16/96.61 = 96.61/x
  3. Step 3: Cross multiply
    71.16x = 96.61 × 96.61
  4. Step 4: Simplify right side
    71.16x = 9,333.37
  5. Step 5: Solve for x
    x = 9,333.37/71.16
  6. Step 6: Final answer
    x = 131.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.