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Finding the Third Proportional to 85,842 and 131,315

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Solution

The third proportional to 85,842 and 131,315 is: 200,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842 : 131,315 = 131,315 : x
  2. Step 2: Convert to fraction form
    85,842/131,315 = 131,315/x
  3. Step 3: Cross multiply
    85,842x = 131,315 × 131,315
  4. Step 4: Simplify right side
    85,842x = 17,243,629,225
  5. Step 5: Solve for x
    x = 17,243,629,225/85,842
  6. Step 6: Final answer
    x = 200,876.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.