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Finding the Third Proportional to 96,612.75 and 142,120.13

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Solution

The third proportional to 96,612.75 and 142,120.13 is: 209,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,612.75 : 142,120.13 = 142,120.13 : x
  2. Step 2: Convert to fraction form
    96,612.75/142,120.13 = 142,120.13/x
  3. Step 3: Cross multiply
    96,612.75x = 142,120.13 × 142,120.13
  4. Step 4: Simplify right side
    96,612.75x = 20,198,129,930.02
  5. Step 5: Solve for x
    x = 20,198,129,930.02/96,612.75
  6. Step 6: Final answer
    x = 209,062.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.