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Finding the Third Proportional to 634.71 and 1,350.11

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Solution

The third proportional to 634.71 and 1,350.11 is: 2,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.71 : 1,350.11 = 1,350.11 : x
  2. Step 2: Convert to fraction form
    634.71/1,350.11 = 1,350.11/x
  3. Step 3: Cross multiply
    634.71x = 1,350.11 × 1,350.11
  4. Step 4: Simplify right side
    634.71x = 1,822,784.78
  5. Step 5: Solve for x
    x = 1,822,784.78/634.71
  6. Step 6: Final answer
    x = 2,871.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.