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Finding the Third Proportional to 69,338 and 149,049

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Solution

The third proportional to 69,338 and 149,049 is: 320,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,338 : 149,049 = 149,049 : x
  2. Step 2: Convert to fraction form
    69,338/149,049 = 149,049/x
  3. Step 3: Cross multiply
    69,338x = 149,049 × 149,049
  4. Step 4: Simplify right side
    69,338x = 22,215,604,401
  5. Step 5: Solve for x
    x = 22,215,604,401/69,338
  6. Step 6: Final answer
    x = 320,395.81

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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.