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Finding the Third Proportional to 69,407 and 150,469

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Solution

The third proportional to 69,407 and 150,469 is: 326,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,407 : 150,469 = 150,469 : x
  2. Step 2: Convert to fraction form
    69,407/150,469 = 150,469/x
  3. Step 3: Cross multiply
    69,407x = 150,469 × 150,469
  4. Step 4: Simplify right side
    69,407x = 22,640,919,961
  5. Step 5: Solve for x
    x = 22,640,919,961/69,407
  6. Step 6: Final answer
    x = 326,205.14

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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.