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Finding the Third Proportional to 15,412 and 33,605

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Solution

The third proportional to 15,412 and 33,605 is: 73,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412 : 33,605 = 33,605 : x
  2. Step 2: Convert to fraction form
    15,412/33,605 = 33,605/x
  3. Step 3: Cross multiply
    15,412x = 33,605 × 33,605
  4. Step 4: Simplify right side
    15,412x = 1,129,296,025
  5. Step 5: Solve for x
    x = 1,129,296,025/15,412
  6. Step 6: Final answer
    x = 73,273.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.