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Finding the Third Proportional to 126,391 and 278,203

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Solution

The third proportional to 126,391 and 278,203 is: 612,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,391 : 278,203 = 278,203 : x
  2. Step 2: Convert to fraction form
    126,391/278,203 = 278,203/x
  3. Step 3: Cross multiply
    126,391x = 278,203 × 278,203
  4. Step 4: Simplify right side
    126,391x = 77,396,909,209
  5. Step 5: Solve for x
    x = 77,396,909,209/126,391
  6. Step 6: Final answer
    x = 612,360.92

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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.