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Finding the Third Proportional to 479,810 and 691,203

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Solution

The third proportional to 479,810 and 691,203 is: 995,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,810 : 691,203 = 691,203 : x
  2. Step 2: Convert to fraction form
    479,810/691,203 = 691,203/x
  3. Step 3: Cross multiply
    479,810x = 691,203 × 691,203
  4. Step 4: Simplify right side
    479,810x = 477,761,587,209
  5. Step 5: Solve for x
    x = 477,761,587,209/479,810
  6. Step 6: Final answer
    x = 995,730.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.