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Finding the Third Proportional to 54,379.13 and 84,034.69

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Solution

The third proportional to 54,379.13 and 84,034.69 is: 129,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,379.13 : 84,034.69 = 84,034.69 : x
  2. Step 2: Convert to fraction form
    54,379.13/84,034.69 = 84,034.69/x
  3. Step 3: Cross multiply
    54,379.13x = 84,034.69 × 84,034.69
  4. Step 4: Simplify right side
    54,379.13x = 7,061,828,703.22
  5. Step 5: Solve for x
    x = 7,061,828,703.22/54,379.13
  6. Step 6: Final answer
    x = 129,862.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.