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Finding the Third Proportional to 100,439 and 209,199

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Solution

The third proportional to 100,439 and 209,199 is: 435,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,439 : 209,199 = 209,199 : x
  2. Step 2: Convert to fraction form
    100,439/209,199 = 209,199/x
  3. Step 3: Cross multiply
    100,439x = 209,199 × 209,199
  4. Step 4: Simplify right side
    100,439x = 43,764,221,601
  5. Step 5: Solve for x
    x = 43,764,221,601/100,439
  6. Step 6: Final answer
    x = 435,729.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.