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Finding the Third Proportional to 396,438 and 565,131

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Solution

The third proportional to 396,438 and 565,131 is: 805,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,438 : 565,131 = 565,131 : x
  2. Step 2: Convert to fraction form
    396,438/565,131 = 565,131/x
  3. Step 3: Cross multiply
    396,438x = 565,131 × 565,131
  4. Step 4: Simplify right side
    396,438x = 319,373,047,161
  5. Step 5: Solve for x
    x = 319,373,047,161/396,438
  6. Step 6: Final answer
    x = 805,606.54

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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.