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Finding the Third Proportional to 110,908 and 155,218

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Solution

The third proportional to 110,908 and 155,218 is: 217,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,908 : 155,218 = 155,218 : x
  2. Step 2: Convert to fraction form
    110,908/155,218 = 155,218/x
  3. Step 3: Cross multiply
    110,908x = 155,218 × 155,218
  4. Step 4: Simplify right side
    110,908x = 24,092,627,524
  5. Step 5: Solve for x
    x = 24,092,627,524/110,908
  6. Step 6: Final answer
    x = 217,230.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.