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Finding the Third Proportional to 69,747 and 151,081

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Solution

The third proportional to 69,747 and 151,081 is: 327,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,747 : 151,081 = 151,081 : x
  2. Step 2: Convert to fraction form
    69,747/151,081 = 151,081/x
  3. Step 3: Cross multiply
    69,747x = 151,081 × 151,081
  4. Step 4: Simplify right side
    69,747x = 22,825,468,561
  5. Step 5: Solve for x
    x = 22,825,468,561/69,747
  6. Step 6: Final answer
    x = 327,260.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.