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Finding the Third Proportional to 38,859 and 83,921

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Solution

The third proportional to 38,859 and 83,921 is: 181,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,859 : 83,921 = 83,921 : x
  2. Step 2: Convert to fraction form
    38,859/83,921 = 83,921/x
  3. Step 3: Cross multiply
    38,859x = 83,921 × 83,921
  4. Step 4: Simplify right side
    38,859x = 7,042,734,241
  5. Step 5: Solve for x
    x = 7,042,734,241/38,859
  6. Step 6: Final answer
    x = 181,238.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.