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Finding the Third Proportional to 18,247.78 and 38,842.03

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Solution

The third proportional to 18,247.78 and 38,842.03 is: 82,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,247.78 : 38,842.03 = 38,842.03 : x
  2. Step 2: Convert to fraction form
    18,247.78/38,842.03 = 38,842.03/x
  3. Step 3: Cross multiply
    18,247.78x = 38,842.03 × 38,842.03
  4. Step 4: Simplify right side
    18,247.78x = 1,508,703,391.63
  5. Step 5: Solve for x
    x = 1,508,703,391.63/18,247.78
  6. Step 6: Final answer
    x = 82,678.73

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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.