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Finding the Third Proportional to 98.13 and 124.44

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Solution

The third proportional to 98.13 and 124.44 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.13 : 124.44 = 124.44 : x
  2. Step 2: Convert to fraction form
    98.13/124.44 = 124.44/x
  3. Step 3: Cross multiply
    98.13x = 124.44 × 124.44
  4. Step 4: Simplify right side
    98.13x = 15,484.69
  5. Step 5: Solve for x
    x = 15,484.69/98.13
  6. Step 6: Final answer
    x = 157.81

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.