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Finding the Third Proportional to 55,775 and 81,802

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Solution

The third proportional to 55,775 and 81,802 is: 119,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,775 : 81,802 = 81,802 : x
  2. Step 2: Convert to fraction form
    55,775/81,802 = 81,802/x
  3. Step 3: Cross multiply
    55,775x = 81,802 × 81,802
  4. Step 4: Simplify right side
    55,775x = 6,691,567,204
  5. Step 5: Solve for x
    x = 6,691,567,204/55,775
  6. Step 6: Final answer
    x = 119,974.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.