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Finding the Third Proportional to 223,839 and 343,782

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Solution

The third proportional to 223,839 and 343,782 is: 527,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,839 : 343,782 = 343,782 : x
  2. Step 2: Convert to fraction form
    223,839/343,782 = 343,782/x
  3. Step 3: Cross multiply
    223,839x = 343,782 × 343,782
  4. Step 4: Simplify right side
    223,839x = 118,186,063,524
  5. Step 5: Solve for x
    x = 118,186,063,524/223,839
  6. Step 6: Final answer
    x = 527,995.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.