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Finding the Third Proportional to 218,211 and 338,666

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Solution

The third proportional to 218,211 and 338,666 is: 525,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,211 : 338,666 = 338,666 : x
  2. Step 2: Convert to fraction form
    218,211/338,666 = 338,666/x
  3. Step 3: Cross multiply
    218,211x = 338,666 × 338,666
  4. Step 4: Simplify right side
    218,211x = 114,694,659,556
  5. Step 5: Solve for x
    x = 114,694,659,556/218,211
  6. Step 6: Final answer
    x = 525,613.56

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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.