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Finding the Third Proportional to 131,882 and 204,081

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Solution

The third proportional to 131,882 and 204,081 is: 315,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,882 : 204,081 = 204,081 : x
  2. Step 2: Convert to fraction form
    131,882/204,081 = 204,081/x
  3. Step 3: Cross multiply
    131,882x = 204,081 × 204,081
  4. Step 4: Simplify right side
    131,882x = 41,649,054,561
  5. Step 5: Solve for x
    x = 41,649,054,561/131,882
  6. Step 6: Final answer
    x = 315,805.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.