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Finding the Third Proportional to 85,286 and 133,782

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Solution

The third proportional to 85,286 and 133,782 is: 209,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,286 : 133,782 = 133,782 : x
  2. Step 2: Convert to fraction form
    85,286/133,782 = 133,782/x
  3. Step 3: Cross multiply
    85,286x = 133,782 × 133,782
  4. Step 4: Simplify right side
    85,286x = 17,897,623,524
  5. Step 5: Solve for x
    x = 17,897,623,524/85,286
  6. Step 6: Final answer
    x = 209,854.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.