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Finding the Third Proportional to 18,259 and 38,872.13

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Solution

The third proportional to 18,259 and 38,872.13 is: 82,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,259 : 38,872.13 = 38,872.13 : x
  2. Step 2: Convert to fraction form
    18,259/38,872.13 = 38,872.13/x
  3. Step 3: Cross multiply
    18,259x = 38,872.13 × 38,872.13
  4. Step 4: Simplify right side
    18,259x = 1,511,042,102.02
  5. Step 5: Solve for x
    x = 1,511,042,102.02/18,259
  6. Step 6: Final answer
    x = 82,756.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.