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Finding the Third Proportional to 396,438 and 565,133

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Solution

The third proportional to 396,438 and 565,133 is: 805,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,438 : 565,133 = 565,133 : x
  2. Step 2: Convert to fraction form
    396,438/565,133 = 565,133/x
  3. Step 3: Cross multiply
    396,438x = 565,133 × 565,133
  4. Step 4: Simplify right side
    396,438x = 319,375,307,689
  5. Step 5: Solve for x
    x = 319,375,307,689/396,438
  6. Step 6: Final answer
    x = 805,612.25

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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.