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Finding the Third Proportional to 15,936 and 33,694.50

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Solution

The third proportional to 15,936 and 33,694.50 is: 71,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936 : 33,694.50 = 33,694.50 : x
  2. Step 2: Convert to fraction form
    15,936/33,694.50 = 33,694.50/x
  3. Step 3: Cross multiply
    15,936x = 33,694.50 × 33,694.50
  4. Step 4: Simplify right side
    15,936x = 1,135,319,330.25
  5. Step 5: Solve for x
    x = 1,135,319,330.25/15,936
  6. Step 6: Final answer
    x = 71,242.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.