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Finding the Third Proportional to 55,450 and 86,872

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Solution

The third proportional to 55,450 and 86,872 is: 136,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,450 : 86,872 = 86,872 : x
  2. Step 2: Convert to fraction form
    55,450/86,872 = 86,872/x
  3. Step 3: Cross multiply
    55,450x = 86,872 × 86,872
  4. Step 4: Simplify right side
    55,450x = 7,546,744,384
  5. Step 5: Solve for x
    x = 7,546,744,384/55,450
  6. Step 6: Final answer
    x = 136,099.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.