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Finding the Third Proportional to 742 and 1,950

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Solution

The third proportional to 742 and 1,950 is: 5,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    742 : 1,950 = 1,950 : x
  2. Step 2: Convert to fraction form
    742/1,950 = 1,950/x
  3. Step 3: Cross multiply
    742x = 1,950 × 1,950
  4. Step 4: Simplify right side
    742x = 3,802,500
  5. Step 5: Solve for x
    x = 3,802,500/742
  6. Step 6: Final answer
    x = 5,124.66

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.