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Finding the Third Proportional to 39,719 and 85,195

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Solution

The third proportional to 39,719 and 85,195 is: 182,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,719 : 85,195 = 85,195 : x
  2. Step 2: Convert to fraction form
    39,719/85,195 = 85,195/x
  3. Step 3: Cross multiply
    39,719x = 85,195 × 85,195
  4. Step 4: Simplify right side
    39,719x = 7,258,188,025
  5. Step 5: Solve for x
    x = 7,258,188,025/39,719
  6. Step 6: Final answer
    x = 182,738.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.