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Finding the Third Proportional to 82,872 and 127,170

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Solution

The third proportional to 82,872 and 127,170 is: 195,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,872 : 127,170 = 127,170 : x
  2. Step 2: Convert to fraction form
    82,872/127,170 = 127,170/x
  3. Step 3: Cross multiply
    82,872x = 127,170 × 127,170
  4. Step 4: Simplify right side
    82,872x = 16,172,208,900
  5. Step 5: Solve for x
    x = 16,172,208,900/82,872
  6. Step 6: Final answer
    x = 195,146.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.