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Finding the Third Proportional to 391,974.75 and 858,682.13

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Solution

The third proportional to 391,974.75 and 858,682.13 is: 1,881,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,974.75 : 858,682.13 = 858,682.13 : x
  2. Step 2: Convert to fraction form
    391,974.75/858,682.13 = 858,682.13/x
  3. Step 3: Cross multiply
    391,974.75x = 858,682.13 × 858,682.13
  4. Step 4: Simplify right side
    391,974.75x = 737,334,991,794.52
  5. Step 5: Solve for x
    x = 737,334,991,794.52/391,974.75
  6. Step 6: Final answer
    x = 1,881,077.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.