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Finding the Third Proportional to 38,963 and 82,780

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Solution

The third proportional to 38,963 and 82,780 is: 175,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,963 : 82,780 = 82,780 : x
  2. Step 2: Convert to fraction form
    38,963/82,780 = 82,780/x
  3. Step 3: Cross multiply
    38,963x = 82,780 × 82,780
  4. Step 4: Simplify right side
    38,963x = 6,852,528,400
  5. Step 5: Solve for x
    x = 6,852,528,400/38,963
  6. Step 6: Final answer
    x = 175,872.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.