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Finding the Third Proportional to 99.75 and 121.88

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Solution

The third proportional to 99.75 and 121.88 is: 148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.75 : 121.88 = 121.88 : x
  2. Step 2: Convert to fraction form
    99.75/121.88 = 121.88/x
  3. Step 3: Cross multiply
    99.75x = 121.88 × 121.88
  4. Step 4: Simplify right side
    99.75x = 14,853.52
  5. Step 5: Solve for x
    x = 14,853.52/99.75
  6. Step 6: Final answer
    x = 148.91

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.