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Finding the Third Proportional to 66,921 and 91,766

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Solution

The third proportional to 66,921 and 91,766 is: 125,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,921 : 91,766 = 91,766 : x
  2. Step 2: Convert to fraction form
    66,921/91,766 = 91,766/x
  3. Step 3: Cross multiply
    66,921x = 91,766 × 91,766
  4. Step 4: Simplify right side
    66,921x = 8,420,998,756
  5. Step 5: Solve for x
    x = 8,420,998,756/66,921
  6. Step 6: Final answer
    x = 125,834.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.