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Finding the Third Proportional to 33,862 and 73,548

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Solution

The third proportional to 33,862 and 73,548 is: 159,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,862 : 73,548 = 73,548 : x
  2. Step 2: Convert to fraction form
    33,862/73,548 = 73,548/x
  3. Step 3: Cross multiply
    33,862x = 73,548 × 73,548
  4. Step 4: Simplify right side
    33,862x = 5,409,308,304
  5. Step 5: Solve for x
    x = 5,409,308,304/33,862
  6. Step 6: Final answer
    x = 159,745.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.