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Finding the Third Proportional to 69,109 and 149,125

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Solution

The third proportional to 69,109 and 149,125 is: 321,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,109 : 149,125 = 149,125 : x
  2. Step 2: Convert to fraction form
    69,109/149,125 = 149,125/x
  3. Step 3: Cross multiply
    69,109x = 149,125 × 149,125
  4. Step 4: Simplify right side
    69,109x = 22,238,265,625
  5. Step 5: Solve for x
    x = 22,238,265,625/69,109
  6. Step 6: Final answer
    x = 321,785.38

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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.