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Finding the Third Proportional to 121.85 and 159.96

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Solution

The third proportional to 121.85 and 159.96 is: 209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.85 : 159.96 = 159.96 : x
  2. Step 2: Convert to fraction form
    121.85/159.96 = 159.96/x
  3. Step 3: Cross multiply
    121.85x = 159.96 × 159.96
  4. Step 4: Simplify right side
    121.85x = 25,587.50
  5. Step 5: Solve for x
    x = 25,587.50/121.85
  6. Step 6: Final answer
    x = 209.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.