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Finding the Third Proportional to 126,673.88 and 278,267.91

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Solution

The third proportional to 126,673.88 and 278,267.91 is: 611,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,673.88 : 278,267.91 = 278,267.91 : x
  2. Step 2: Convert to fraction form
    126,673.88/278,267.91 = 278,267.91/x
  3. Step 3: Cross multiply
    126,673.88x = 278,267.91 × 278,267.91
  4. Step 4: Simplify right side
    126,673.88x = 77,433,027,648.76
  5. Step 5: Solve for x
    x = 77,433,027,648.76/126,673.88
  6. Step 6: Final answer
    x = 611,278.59

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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.