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Finding the Third Proportional to 85,219 and 131,817

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Solution

The third proportional to 85,219 and 131,817 is: 203,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,219 : 131,817 = 131,817 : x
  2. Step 2: Convert to fraction form
    85,219/131,817 = 131,817/x
  3. Step 3: Cross multiply
    85,219x = 131,817 × 131,817
  4. Step 4: Simplify right side
    85,219x = 17,375,721,489
  5. Step 5: Solve for x
    x = 17,375,721,489/85,219
  6. Step 6: Final answer
    x = 203,894.92

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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.