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Finding the Third Proportional to 126,938 and 278,788

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Solution

The third proportional to 126,938 and 278,788 is: 612,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,938 : 278,788 = 278,788 : x
  2. Step 2: Convert to fraction form
    126,938/278,788 = 278,788/x
  3. Step 3: Cross multiply
    126,938x = 278,788 × 278,788
  4. Step 4: Simplify right side
    126,938x = 77,722,748,944
  5. Step 5: Solve for x
    x = 77,722,748,944/126,938
  6. Step 6: Final answer
    x = 612,289.06

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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.