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Finding the Third Proportional to 69,279 and 149,493

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Solution

The third proportional to 69,279 and 149,493 is: 322,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,279 : 149,493 = 149,493 : x
  2. Step 2: Convert to fraction form
    69,279/149,493 = 149,493/x
  3. Step 3: Cross multiply
    69,279x = 149,493 × 149,493
  4. Step 4: Simplify right side
    69,279x = 22,348,157,049
  5. Step 5: Solve for x
    x = 22,348,157,049/69,279
  6. Step 6: Final answer
    x = 322,581.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.