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Finding the Third Proportional to 38,568 and 78,209

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Solution

The third proportional to 38,568 and 78,209 is: 158,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,568 : 78,209 = 78,209 : x
  2. Step 2: Convert to fraction form
    38,568/78,209 = 78,209/x
  3. Step 3: Cross multiply
    38,568x = 78,209 × 78,209
  4. Step 4: Simplify right side
    38,568x = 6,116,647,681
  5. Step 5: Solve for x
    x = 6,116,647,681/38,568
  6. Step 6: Final answer
    x = 158,593.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.