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Finding the Third Proportional to 126,894.94 and 278,712.56

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Solution

The third proportional to 126,894.94 and 278,712.56 is: 612,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,894.94 : 278,712.56 = 278,712.56 : x
  2. Step 2: Convert to fraction form
    126,894.94/278,712.56 = 278,712.56/x
  3. Step 3: Cross multiply
    126,894.94x = 278,712.56 × 278,712.56
  4. Step 4: Simplify right side
    126,894.94x = 77,680,692,495.32
  5. Step 5: Solve for x
    x = 77,680,692,495.32/126,894.94
  6. Step 6: Final answer
    x = 612,165.42

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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.