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Finding the Third Proportional to 69,357 and 149,241

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Solution

The third proportional to 69,357 and 149,241 is: 321,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,357 : 149,241 = 149,241 : x
  2. Step 2: Convert to fraction form
    69,357/149,241 = 149,241/x
  3. Step 3: Cross multiply
    69,357x = 149,241 × 149,241
  4. Step 4: Simplify right side
    69,357x = 22,272,876,081
  5. Step 5: Solve for x
    x = 22,272,876,081/69,357
  6. Step 6: Final answer
    x = 321,133.79

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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.