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Finding the Third Proportional to 102,406.78 and 222,787.97

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Solution

The third proportional to 102,406.78 and 222,787.97 is: 484,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,406.78 : 222,787.97 = 222,787.97 : x
  2. Step 2: Convert to fraction form
    102,406.78/222,787.97 = 222,787.97/x
  3. Step 3: Cross multiply
    102,406.78x = 222,787.97 × 222,787.97
  4. Step 4: Simplify right side
    102,406.78x = 49,634,479,019.75
  5. Step 5: Solve for x
    x = 49,634,479,019.75/102,406.78
  6. Step 6: Final answer
    x = 484,679.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.