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Finding the Third Proportional to 69,279 and 149,154

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Solution

The third proportional to 69,279 and 149,154 is: 321,120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,279 : 149,154 = 149,154 : x
  2. Step 2: Convert to fraction form
    69,279/149,154 = 149,154/x
  3. Step 3: Cross multiply
    69,279x = 149,154 × 149,154
  4. Step 4: Simplify right side
    69,279x = 22,246,915,716
  5. Step 5: Solve for x
    x = 22,246,915,716/69,279
  6. Step 6: Final answer
    x = 321,120.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.