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Finding the Third Proportional to 54,145.13 and 83,679.19

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Solution

The third proportional to 54,145.13 and 83,679.19 is: 129,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,145.13 : 83,679.19 = 83,679.19 : x
  2. Step 2: Convert to fraction form
    54,145.13/83,679.19 = 83,679.19/x
  3. Step 3: Cross multiply
    54,145.13x = 83,679.19 × 83,679.19
  4. Step 4: Simplify right side
    54,145.13x = 7,002,206,420.66
  5. Step 5: Solve for x
    x = 7,002,206,420.66/54,145.13
  6. Step 6: Final answer
    x = 129,322.93

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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.