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Finding the Third Proportional to 85,782 and 124,245

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Solution

The third proportional to 85,782 and 124,245 is: 179,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,782 : 124,245 = 124,245 : x
  2. Step 2: Convert to fraction form
    85,782/124,245 = 124,245/x
  3. Step 3: Cross multiply
    85,782x = 124,245 × 124,245
  4. Step 4: Simplify right side
    85,782x = 15,436,820,025
  5. Step 5: Solve for x
    x = 15,436,820,025/85,782
  6. Step 6: Final answer
    x = 179,954.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.