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Finding the Third Proportional to 15,561 and 33,309

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Solution

The third proportional to 15,561 and 33,309 is: 71,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,561 : 33,309 = 33,309 : x
  2. Step 2: Convert to fraction form
    15,561/33,309 = 33,309/x
  3. Step 3: Cross multiply
    15,561x = 33,309 × 33,309
  4. Step 4: Simplify right side
    15,561x = 1,109,489,481
  5. Step 5: Solve for x
    x = 1,109,489,481/15,561
  6. Step 6: Final answer
    x = 71,299.37

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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.