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Finding the Third Proportional to 54,499 and 86,771

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Solution

The third proportional to 54,499 and 86,771 is: 138,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,499 : 86,771 = 86,771 : x
  2. Step 2: Convert to fraction form
    54,499/86,771 = 86,771/x
  3. Step 3: Cross multiply
    54,499x = 86,771 × 86,771
  4. Step 4: Simplify right side
    54,499x = 7,529,206,441
  5. Step 5: Solve for x
    x = 7,529,206,441/54,499
  6. Step 6: Final answer
    x = 138,153.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.