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Finding the Third Proportional to 126,934.88 and 278,780.63

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Solution

The third proportional to 126,934.88 and 278,780.63 is: 612,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,934.88 : 278,780.63 = 278,780.63 : x
  2. Step 2: Convert to fraction form
    126,934.88/278,780.63 = 278,780.63/x
  3. Step 3: Cross multiply
    126,934.88x = 278,780.63 × 278,780.63
  4. Step 4: Simplify right side
    126,934.88x = 77,718,636,875.39
  5. Step 5: Solve for x
    x = 77,718,636,875.39/126,934.88
  6. Step 6: Final answer
    x = 612,271.74

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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.