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Finding the Third Proportional to 80,032 and 106,872

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Solution

The third proportional to 80,032 and 106,872 is: 142,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,032 : 106,872 = 106,872 : x
  2. Step 2: Convert to fraction form
    80,032/106,872 = 106,872/x
  3. Step 3: Cross multiply
    80,032x = 106,872 × 106,872
  4. Step 4: Simplify right side
    80,032x = 11,421,624,384
  5. Step 5: Solve for x
    x = 11,421,624,384/80,032
  6. Step 6: Final answer
    x = 142,713.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.