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Finding the Third Proportional to 16,486 and 33,548

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Solution

The third proportional to 16,486 and 33,548 is: 68,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486 : 33,548 = 33,548 : x
  2. Step 2: Convert to fraction form
    16,486/33,548 = 33,548/x
  3. Step 3: Cross multiply
    16,486x = 33,548 × 33,548
  4. Step 4: Simplify right side
    16,486x = 1,125,468,304
  5. Step 5: Solve for x
    x = 1,125,468,304/16,486
  6. Step 6: Final answer
    x = 68,268.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.