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Finding the Third Proportional to 38,884.88 and 81,919.13

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Solution

The third proportional to 38,884.88 and 81,919.13 is: 172,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884.88 : 81,919.13 = 81,919.13 : x
  2. Step 2: Convert to fraction form
    38,884.88/81,919.13 = 81,919.13/x
  3. Step 3: Cross multiply
    38,884.88x = 81,919.13 × 81,919.13
  4. Step 4: Simplify right side
    38,884.88x = 6,710,743,040.77
  5. Step 5: Solve for x
    x = 6,710,743,040.77/38,884.88
  6. Step 6: Final answer
    x = 172,579.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.