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Finding the Third Proportional to 39,720.38 and 84,979.13

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Solution

The third proportional to 39,720.38 and 84,979.13 is: 181,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,720.38 : 84,979.13 = 84,979.13 : x
  2. Step 2: Convert to fraction form
    39,720.38/84,979.13 = 84,979.13/x
  3. Step 3: Cross multiply
    39,720.38x = 84,979.13 × 84,979.13
  4. Step 4: Simplify right side
    39,720.38x = 7,221,451,685.77
  5. Step 5: Solve for x
    x = 7,221,451,685.77/39,720.38
  6. Step 6: Final answer
    x = 181,807.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.