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Finding the Third Proportional to 131,817 and 204,279

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Solution

The third proportional to 131,817 and 204,279 is: 316,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,817 : 204,279 = 204,279 : x
  2. Step 2: Convert to fraction form
    131,817/204,279 = 204,279/x
  3. Step 3: Cross multiply
    131,817x = 204,279 × 204,279
  4. Step 4: Simplify right side
    131,817x = 41,729,909,841
  5. Step 5: Solve for x
    x = 41,729,909,841/131,817
  6. Step 6: Final answer
    x = 316,574.57

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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.