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Finding the Third Proportional to 67,867 and 149,117

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Solution

The third proportional to 67,867 and 149,117 is: 327,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,867 : 149,117 = 149,117 : x
  2. Step 2: Convert to fraction form
    67,867/149,117 = 149,117/x
  3. Step 3: Cross multiply
    67,867x = 149,117 × 149,117
  4. Step 4: Simplify right side
    67,867x = 22,235,879,689
  5. Step 5: Solve for x
    x = 22,235,879,689/67,867
  6. Step 6: Final answer
    x = 327,639.05

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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.