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Finding the Third Proportional to 391,966 and 858,667

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Solution

The third proportional to 391,966 and 858,667 is: 1,881,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,966 : 858,667 = 858,667 : x
  2. Step 2: Convert to fraction form
    391,966/858,667 = 858,667/x
  3. Step 3: Cross multiply
    391,966x = 858,667 × 858,667
  4. Step 4: Simplify right side
    391,966x = 737,309,016,889
  5. Step 5: Solve for x
    x = 737,309,016,889/391,966
  6. Step 6: Final answer
    x = 1,881,053.50

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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.