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Finding the Third Proportional to 641,788 and 997,782

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Solution

The third proportional to 641,788 and 997,782 is: 1,551,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,788 : 997,782 = 997,782 : x
  2. Step 2: Convert to fraction form
    641,788/997,782 = 997,782/x
  3. Step 3: Cross multiply
    641,788x = 997,782 × 997,782
  4. Step 4: Simplify right side
    641,788x = 995,568,919,524
  5. Step 5: Solve for x
    x = 995,568,919,524/641,788
  6. Step 6: Final answer
    x = 1,551,242.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.