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Finding the Third Proportional to 393,608 and 858,439

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Solution

The third proportional to 393,608 and 858,439 is: 1,872,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,608 : 858,439 = 858,439 : x
  2. Step 2: Convert to fraction form
    393,608/858,439 = 858,439/x
  3. Step 3: Cross multiply
    393,608x = 858,439 × 858,439
  4. Step 4: Simplify right side
    393,608x = 736,917,516,721
  5. Step 5: Solve for x
    x = 736,917,516,721/393,608
  6. Step 6: Final answer
    x = 1,872,211.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.