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Finding the Third Proportional to 68,049 and 96,780

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Solution

The third proportional to 68,049 and 96,780 is: 137,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,049 : 96,780 = 96,780 : x
  2. Step 2: Convert to fraction form
    68,049/96,780 = 96,780/x
  3. Step 3: Cross multiply
    68,049x = 96,780 × 96,780
  4. Step 4: Simplify right side
    68,049x = 9,366,368,400
  5. Step 5: Solve for x
    x = 9,366,368,400/68,049
  6. Step 6: Final answer
    x = 137,641.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.