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Finding the Third Proportional to 396,255 and 772,665

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Solution

The third proportional to 396,255 and 772,665 is: 1,506,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,255 : 772,665 = 772,665 : x
  2. Step 2: Convert to fraction form
    396,255/772,665 = 772,665/x
  3. Step 3: Cross multiply
    396,255x = 772,665 × 772,665
  4. Step 4: Simplify right side
    396,255x = 597,011,202,225
  5. Step 5: Solve for x
    x = 597,011,202,225/396,255
  6. Step 6: Final answer
    x = 1,506,633.87

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.