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Finding the Third Proportional to 222,758 and 345,234

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Solution

The third proportional to 222,758 and 345,234 is: 535,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,758 : 345,234 = 345,234 : x
  2. Step 2: Convert to fraction form
    222,758/345,234 = 345,234/x
  3. Step 3: Cross multiply
    222,758x = 345,234 × 345,234
  4. Step 4: Simplify right side
    222,758x = 119,186,514,756
  5. Step 5: Solve for x
    x = 119,186,514,756/222,758
  6. Step 6: Final answer
    x = 535,049.31

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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.