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Finding the Third Proportional to 33,862 and 51,548

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Solution

The third proportional to 33,862 and 51,548 is: 78,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,862 : 51,548 = 51,548 : x
  2. Step 2: Convert to fraction form
    33,862/51,548 = 51,548/x
  3. Step 3: Cross multiply
    33,862x = 51,548 × 51,548
  4. Step 4: Simplify right side
    33,862x = 2,657,196,304
  5. Step 5: Solve for x
    x = 2,657,196,304/33,862
  6. Step 6: Final answer
    x = 78,471.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.