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Finding the Third Proportional to 396,872 and 565,788

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Solution

The third proportional to 396,872 and 565,788 is: 806,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,872 : 565,788 = 565,788 : x
  2. Step 2: Convert to fraction form
    396,872/565,788 = 565,788/x
  3. Step 3: Cross multiply
    396,872x = 565,788 × 565,788
  4. Step 4: Simplify right side
    396,872x = 320,116,060,944
  5. Step 5: Solve for x
    x = 320,116,060,944/396,872
  6. Step 6: Final answer
    x = 806,597.75

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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.