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Finding the Third Proportional to 396,821 and 596,135

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Solution

The third proportional to 396,821 and 596,135 is: 895,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,821 : 596,135 = 596,135 : x
  2. Step 2: Convert to fraction form
    396,821/596,135 = 596,135/x
  3. Step 3: Cross multiply
    396,821x = 596,135 × 596,135
  4. Step 4: Simplify right side
    396,821x = 355,376,938,225
  5. Step 5: Solve for x
    x = 355,376,938,225/396,821
  6. Step 6: Final answer
    x = 895,559.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.