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Finding the Third Proportional to 38,781.28 and 79,195.22

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Solution

The third proportional to 38,781.28 and 79,195.22 is: 161,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.28 : 79,195.22 = 79,195.22 : x
  2. Step 2: Convert to fraction form
    38,781.28/79,195.22 = 79,195.22/x
  3. Step 3: Cross multiply
    38,781.28x = 79,195.22 × 79,195.22
  4. Step 4: Simplify right side
    38,781.28x = 6,271,882,672.86
  5. Step 5: Solve for x
    x = 6,271,882,672.86/38,781.28
  6. Step 6: Final answer
    x = 161,724.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.