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Finding the Third Proportional to 82,878 and 127,463

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Solution

The third proportional to 82,878 and 127,463 is: 196,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878 : 127,463 = 127,463 : x
  2. Step 2: Convert to fraction form
    82,878/127,463 = 127,463/x
  3. Step 3: Cross multiply
    82,878x = 127,463 × 127,463
  4. Step 4: Simplify right side
    82,878x = 16,246,816,369
  5. Step 5: Solve for x
    x = 16,246,816,369/82,878
  6. Step 6: Final answer
    x = 196,032.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.