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Finding the Third Proportional to 422,392 and 859,458

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Solution

The third proportional to 422,392 and 859,458 is: 1,748,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,392 : 859,458 = 859,458 : x
  2. Step 2: Convert to fraction form
    422,392/859,458 = 859,458/x
  3. Step 3: Cross multiply
    422,392x = 859,458 × 859,458
  4. Step 4: Simplify right side
    422,392x = 738,668,053,764
  5. Step 5: Solve for x
    x = 738,668,053,764/422,392
  6. Step 6: Final answer
    x = 1,748,773.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.