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Finding the Third Proportional to 3,790 and 8,118

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Solution

The third proportional to 3,790 and 8,118 is: 17,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790 : 8,118 = 8,118 : x
  2. Step 2: Convert to fraction form
    3,790/8,118 = 8,118/x
  3. Step 3: Cross multiply
    3,790x = 8,118 × 8,118
  4. Step 4: Simplify right side
    3,790x = 65,901,924
  5. Step 5: Solve for x
    x = 65,901,924/3,790
  6. Step 6: Final answer
    x = 17,388.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.