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Finding the Third Proportional to 33,756 and 51,952

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Solution

The third proportional to 33,756 and 51,952 is: 79,956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,756 : 51,952 = 51,952 : x
  2. Step 2: Convert to fraction form
    33,756/51,952 = 51,952/x
  3. Step 3: Cross multiply
    33,756x = 51,952 × 51,952
  4. Step 4: Simplify right side
    33,756x = 2,699,010,304
  5. Step 5: Solve for x
    x = 2,699,010,304/33,756
  6. Step 6: Final answer
    x = 79,956.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.