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Finding the Third Proportional to 69,954 and 149,882

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Solution

The third proportional to 69,954 and 149,882 is: 321,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,954 : 149,882 = 149,882 : x
  2. Step 2: Convert to fraction form
    69,954/149,882 = 149,882/x
  3. Step 3: Cross multiply
    69,954x = 149,882 × 149,882
  4. Step 4: Simplify right side
    69,954x = 22,464,613,924
  5. Step 5: Solve for x
    x = 22,464,613,924/69,954
  6. Step 6: Final answer
    x = 321,134.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.