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Finding the Third Proportional to 66,991 and 103,682

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Solution

The third proportional to 66,991 and 103,682 is: 160,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,991 : 103,682 = 103,682 : x
  2. Step 2: Convert to fraction form
    66,991/103,682 = 103,682/x
  3. Step 3: Cross multiply
    66,991x = 103,682 × 103,682
  4. Step 4: Simplify right side
    66,991x = 10,749,957,124
  5. Step 5: Solve for x
    x = 10,749,957,124/66,991
  6. Step 6: Final answer
    x = 160,468.68

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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.