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Finding the Third Proportional to 23,046 and 33,561

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Solution

The third proportional to 23,046 and 33,561 is: 48,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046 : 33,561 = 33,561 : x
  2. Step 2: Convert to fraction form
    23,046/33,561 = 33,561/x
  3. Step 3: Cross multiply
    23,046x = 33,561 × 33,561
  4. Step 4: Simplify right side
    23,046x = 1,126,340,721
  5. Step 5: Solve for x
    x = 1,126,340,721/23,046
  6. Step 6: Final answer
    x = 48,873.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.