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Finding the Third Proportional to 121.47 and 140.03

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Solution

The third proportional to 121.47 and 140.03 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.47 : 140.03 = 140.03 : x
  2. Step 2: Convert to fraction form
    121.47/140.03 = 140.03/x
  3. Step 3: Cross multiply
    121.47x = 140.03 × 140.03
  4. Step 4: Simplify right side
    121.47x = 19,608.75
  5. Step 5: Solve for x
    x = 19,608.75/121.47
  6. Step 6: Final answer
    x = 161.43

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.