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Finding the Third Proportional to 54,458 and 87,731

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Solution

The third proportional to 54,458 and 87,731 is: 141,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,458 : 87,731 = 87,731 : x
  2. Step 2: Convert to fraction form
    54,458/87,731 = 87,731/x
  3. Step 3: Cross multiply
    54,458x = 87,731 × 87,731
  4. Step 4: Simplify right side
    54,458x = 7,696,728,361
  5. Step 5: Solve for x
    x = 7,696,728,361/54,458
  6. Step 6: Final answer
    x = 141,333.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.