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Finding the Third Proportional to 3,780 and 5,042

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Solution

The third proportional to 3,780 and 5,042 is: 6,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,042 = 5,042 : x
  2. Step 2: Convert to fraction form
    3,780/5,042 = 5,042/x
  3. Step 3: Cross multiply
    3,780x = 5,042 × 5,042
  4. Step 4: Simplify right side
    3,780x = 25,421,764
  5. Step 5: Solve for x
    x = 25,421,764/3,780
  6. Step 6: Final answer
    x = 6,725.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.