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Finding the Third Proportional to 3,870 and 8,759

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Solution

The third proportional to 3,870 and 8,759 is: 19,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 8,759 = 8,759 : x
  2. Step 2: Convert to fraction form
    3,870/8,759 = 8,759/x
  3. Step 3: Cross multiply
    3,870x = 8,759 × 8,759
  4. Step 4: Simplify right side
    3,870x = 76,720,081
  5. Step 5: Solve for x
    x = 76,720,081/3,870
  6. Step 6: Final answer
    x = 19,824.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.