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Finding the Third Proportional to 396,243 and 772,632

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Solution

The third proportional to 396,243 and 772,632 is: 1,506,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,243 : 772,632 = 772,632 : x
  2. Step 2: Convert to fraction form
    396,243/772,632 = 772,632/x
  3. Step 3: Cross multiply
    396,243x = 772,632 × 772,632
  4. Step 4: Simplify right side
    396,243x = 596,960,207,424
  5. Step 5: Solve for x
    x = 596,960,207,424/396,243
  6. Step 6: Final answer
    x = 1,506,550.80

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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.