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Finding the Third Proportional to 84,348 and 127,872

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Solution

The third proportional to 84,348 and 127,872 is: 193,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,348 : 127,872 = 127,872 : x
  2. Step 2: Convert to fraction form
    84,348/127,872 = 127,872/x
  3. Step 3: Cross multiply
    84,348x = 127,872 × 127,872
  4. Step 4: Simplify right side
    84,348x = 16,351,248,384
  5. Step 5: Solve for x
    x = 16,351,248,384/84,348
  6. Step 6: Final answer
    x = 193,854.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.