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Finding the Third Proportional to 391,268 and 857,542

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Solution

The third proportional to 391,268 and 857,542 is: 1,879,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,268 : 857,542 = 857,542 : x
  2. Step 2: Convert to fraction form
    391,268/857,542 = 857,542/x
  3. Step 3: Cross multiply
    391,268x = 857,542 × 857,542
  4. Step 4: Simplify right side
    391,268x = 735,378,281,764
  5. Step 5: Solve for x
    x = 735,378,281,764/391,268
  6. Step 6: Final answer
    x = 1,879,474.64

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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.