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Finding the Third Proportional to 15,535 and 33,257

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Solution

The third proportional to 15,535 and 33,257 is: 71,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535 : 33,257 = 33,257 : x
  2. Step 2: Convert to fraction form
    15,535/33,257 = 33,257/x
  3. Step 3: Cross multiply
    15,535x = 33,257 × 33,257
  4. Step 4: Simplify right side
    15,535x = 1,106,028,049
  5. Step 5: Solve for x
    x = 1,106,028,049/15,535
  6. Step 6: Final answer
    x = 71,195.88

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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.