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Finding the Third Proportional to 81,219 and 120,228

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Solution

The third proportional to 81,219 and 120,228 is: 177,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,219 : 120,228 = 120,228 : x
  2. Step 2: Convert to fraction form
    81,219/120,228 = 120,228/x
  3. Step 3: Cross multiply
    81,219x = 120,228 × 120,228
  4. Step 4: Simplify right side
    81,219x = 14,454,771,984
  5. Step 5: Solve for x
    x = 14,454,771,984/81,219
  6. Step 6: Final answer
    x = 177,972.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.