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Finding the Third Proportional to 39,105 and 85,987

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Solution

The third proportional to 39,105 and 85,987 is: 189,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,105 : 85,987 = 85,987 : x
  2. Step 2: Convert to fraction form
    39,105/85,987 = 85,987/x
  3. Step 3: Cross multiply
    39,105x = 85,987 × 85,987
  4. Step 4: Simplify right side
    39,105x = 7,393,764,169
  5. Step 5: Solve for x
    x = 7,393,764,169/39,105
  6. Step 6: Final answer
    x = 189,074.65

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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.