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Finding the Third Proportional to 8,646 and 18,980

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Solution

The third proportional to 8,646 and 18,980 is: 41,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646 : 18,980 = 18,980 : x
  2. Step 2: Convert to fraction form
    8,646/18,980 = 18,980/x
  3. Step 3: Cross multiply
    8,646x = 18,980 × 18,980
  4. Step 4: Simplify right side
    8,646x = 360,240,400
  5. Step 5: Solve for x
    x = 360,240,400/8,646
  6. Step 6: Final answer
    x = 41,665.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.