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Finding the Third Proportional to 69,456 and 149,266

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Solution

The third proportional to 69,456 and 149,266 is: 320,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,456 : 149,266 = 149,266 : x
  2. Step 2: Convert to fraction form
    69,456/149,266 = 149,266/x
  3. Step 3: Cross multiply
    69,456x = 149,266 × 149,266
  4. Step 4: Simplify right side
    69,456x = 22,280,338,756
  5. Step 5: Solve for x
    x = 22,280,338,756/69,456
  6. Step 6: Final answer
    x = 320,783.50

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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.