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Finding the Third Proportional to 262,980 and 406,782

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Solution

The third proportional to 262,980 and 406,782 is: 629,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,980 : 406,782 = 406,782 : x
  2. Step 2: Convert to fraction form
    262,980/406,782 = 406,782/x
  3. Step 3: Cross multiply
    262,980x = 406,782 × 406,782
  4. Step 4: Simplify right side
    262,980x = 165,471,595,524
  5. Step 5: Solve for x
    x = 165,471,595,524/262,980
  6. Step 6: Final answer
    x = 629,217.41

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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.