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Finding the Third Proportional to 98.91 and 112.17

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Solution

The third proportional to 98.91 and 112.17 is: 127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.91 : 112.17 = 112.17 : x
  2. Step 2: Convert to fraction form
    98.91/112.17 = 112.17/x
  3. Step 3: Cross multiply
    98.91x = 112.17 × 112.17
  4. Step 4: Simplify right side
    98.91x = 12,582.53
  5. Step 5: Solve for x
    x = 12,582.53/98.91
  6. Step 6: Final answer
    x = 127.22

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.