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Finding the Third Proportional to 69,124 and 151,208

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Solution

The third proportional to 69,124 and 151,208 is: 330,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,124 : 151,208 = 151,208 : x
  2. Step 2: Convert to fraction form
    69,124/151,208 = 151,208/x
  3. Step 3: Cross multiply
    69,124x = 151,208 × 151,208
  4. Step 4: Simplify right side
    69,124x = 22,863,859,264
  5. Step 5: Solve for x
    x = 22,863,859,264/69,124
  6. Step 6: Final answer
    x = 330,765.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.