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Finding the Third Proportional to 126,854 and 278,818

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Solution

The third proportional to 126,854 and 278,818 is: 612,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,854 : 278,818 = 278,818 : x
  2. Step 2: Convert to fraction form
    126,854/278,818 = 278,818/x
  3. Step 3: Cross multiply
    126,854x = 278,818 × 278,818
  4. Step 4: Simplify right side
    126,854x = 77,739,477,124
  5. Step 5: Solve for x
    x = 77,739,477,124/126,854
  6. Step 6: Final answer
    x = 612,826.38

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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.