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Finding the Third Proportional to 55,770 and 81,795

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Solution

The third proportional to 55,770 and 81,795 is: 119,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,770 : 81,795 = 81,795 : x
  2. Step 2: Convert to fraction form
    55,770/81,795 = 81,795/x
  3. Step 3: Cross multiply
    55,770x = 81,795 × 81,795
  4. Step 4: Simplify right side
    55,770x = 6,690,422,025
  5. Step 5: Solve for x
    x = 6,690,422,025/55,770
  6. Step 6: Final answer
    x = 119,964.53

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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.