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Finding the Third Proportional to 396,434 and 565,126

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Solution

The third proportional to 396,434 and 565,126 is: 805,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,434 : 565,126 = 565,126 : x
  2. Step 2: Convert to fraction form
    396,434/565,126 = 565,126/x
  3. Step 3: Cross multiply
    396,434x = 565,126 × 565,126
  4. Step 4: Simplify right side
    396,434x = 319,367,395,876
  5. Step 5: Solve for x
    x = 319,367,395,876/396,434
  6. Step 6: Final answer
    x = 805,600.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.