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Finding the Third Proportional to 85,845 and 131,319

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Solution

The third proportional to 85,845 and 131,319 is: 200,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,845 : 131,319 = 131,319 : x
  2. Step 2: Convert to fraction form
    85,845/131,319 = 131,319/x
  3. Step 3: Cross multiply
    85,845x = 131,319 × 131,319
  4. Step 4: Simplify right side
    85,845x = 17,244,679,761
  5. Step 5: Solve for x
    x = 17,244,679,761/85,845
  6. Step 6: Final answer
    x = 200,881.59

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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.