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Finding the Third Proportional to 82,752 and 127,872

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Solution

The third proportional to 82,752 and 127,872 is: 197,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,752 : 127,872 = 127,872 : x
  2. Step 2: Convert to fraction form
    82,752/127,872 = 127,872/x
  3. Step 3: Cross multiply
    82,752x = 127,872 × 127,872
  4. Step 4: Simplify right side
    82,752x = 16,351,248,384
  5. Step 5: Solve for x
    x = 16,351,248,384/82,752
  6. Step 6: Final answer
    x = 197,593.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.