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Finding the Third Proportional to 435,876 and 673,518

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Solution

The third proportional to 435,876 and 673,518 is: 1,040,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,876 : 673,518 = 673,518 : x
  2. Step 2: Convert to fraction form
    435,876/673,518 = 673,518/x
  3. Step 3: Cross multiply
    435,876x = 673,518 × 673,518
  4. Step 4: Simplify right side
    435,876x = 453,626,496,324
  5. Step 5: Solve for x
    x = 453,626,496,324/435,876
  6. Step 6: Final answer
    x = 1,040,723.73

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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.