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Finding the Third Proportional to 28,189 and 61,958

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Solution

The third proportional to 28,189 and 61,958 is: 136,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,189 : 61,958 = 61,958 : x
  2. Step 2: Convert to fraction form
    28,189/61,958 = 61,958/x
  3. Step 3: Cross multiply
    28,189x = 61,958 × 61,958
  4. Step 4: Simplify right side
    28,189x = 3,838,793,764
  5. Step 5: Solve for x
    x = 3,838,793,764/28,189
  6. Step 6: Final answer
    x = 136,180.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.