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Finding the Third Proportional to 126,389 and 278,199

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Solution

The third proportional to 126,389 and 278,199 is: 612,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,389 : 278,199 = 278,199 : x
  2. Step 2: Convert to fraction form
    126,389/278,199 = 278,199/x
  3. Step 3: Cross multiply
    126,389x = 278,199 × 278,199
  4. Step 4: Simplify right side
    126,389x = 77,394,683,601
  5. Step 5: Solve for x
    x = 77,394,683,601/126,389
  6. Step 6: Final answer
    x = 612,353.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.