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Finding the Third Proportional to 66,682 and 103,218

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Solution

The third proportional to 66,682 and 103,218 is: 159,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,682 : 103,218 = 103,218 : x
  2. Step 2: Convert to fraction form
    66,682/103,218 = 103,218/x
  3. Step 3: Cross multiply
    66,682x = 103,218 × 103,218
  4. Step 4: Simplify right side
    66,682x = 10,653,955,524
  5. Step 5: Solve for x
    x = 10,653,955,524/66,682
  6. Step 6: Final answer
    x = 159,772.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.