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Finding the Third Proportional to 634.39 and 1,340.61

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Solution

The third proportional to 634.39 and 1,340.61 is: 2,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.39 : 1,340.61 = 1,340.61 : x
  2. Step 2: Convert to fraction form
    634.39/1,340.61 = 1,340.61/x
  3. Step 3: Cross multiply
    634.39x = 1,340.61 × 1,340.61
  4. Step 4: Simplify right side
    634.39x = 1,797,243.97
  5. Step 5: Solve for x
    x = 1,797,243.97/634.39
  6. Step 6: Final answer
    x = 2,833.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.