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Finding the Third Proportional to 96,068 and 143,718

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Solution

The third proportional to 96,068 and 143,718 is: 215,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,068 : 143,718 = 143,718 : x
  2. Step 2: Convert to fraction form
    96,068/143,718 = 143,718/x
  3. Step 3: Cross multiply
    96,068x = 143,718 × 143,718
  4. Step 4: Simplify right side
    96,068x = 20,654,863,524
  5. Step 5: Solve for x
    x = 20,654,863,524/96,068
  6. Step 6: Final answer
    x = 215,002.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.