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Finding the Third Proportional to 15,425 and 33,643

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Solution

The third proportional to 15,425 and 33,643 is: 73,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,425 : 33,643 = 33,643 : x
  2. Step 2: Convert to fraction form
    15,425/33,643 = 33,643/x
  3. Step 3: Cross multiply
    15,425x = 33,643 × 33,643
  4. Step 4: Simplify right side
    15,425x = 1,131,851,449
  5. Step 5: Solve for x
    x = 1,131,851,449/15,425
  6. Step 6: Final answer
    x = 73,377.73

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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.