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Finding the Third Proportional to 69,876 and 155,232

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Solution

The third proportional to 69,876 and 155,232 is: 344,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876 : 155,232 = 155,232 : x
  2. Step 2: Convert to fraction form
    69,876/155,232 = 155,232/x
  3. Step 3: Cross multiply
    69,876x = 155,232 × 155,232
  4. Step 4: Simplify right side
    69,876x = 24,096,973,824
  5. Step 5: Solve for x
    x = 24,096,973,824/69,876
  6. Step 6: Final answer
    x = 344,853.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.