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Finding the Third Proportional to 18,471 and 40,749

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Solution

The third proportional to 18,471 and 40,749 is: 89,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471 : 40,749 = 40,749 : x
  2. Step 2: Convert to fraction form
    18,471/40,749 = 40,749/x
  3. Step 3: Cross multiply
    18,471x = 40,749 × 40,749
  4. Step 4: Simplify right side
    18,471x = 1,660,481,001
  5. Step 5: Solve for x
    x = 1,660,481,001/18,471
  6. Step 6: Final answer
    x = 89,896.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.