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Finding the Third Proportional to 126,296 and 278,942

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Solution

The third proportional to 126,296 and 278,942 is: 616,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,296 : 278,942 = 278,942 : x
  2. Step 2: Convert to fraction form
    126,296/278,942 = 278,942/x
  3. Step 3: Cross multiply
    126,296x = 278,942 × 278,942
  4. Step 4: Simplify right side
    126,296x = 77,808,639,364
  5. Step 5: Solve for x
    x = 77,808,639,364/126,296
  6. Step 6: Final answer
    x = 616,081.58

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.