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Finding the Third Proportional to 68,802 and 91,745

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Solution

The third proportional to 68,802 and 91,745 is: 122,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,802 : 91,745 = 91,745 : x
  2. Step 2: Convert to fraction form
    68,802/91,745 = 91,745/x
  3. Step 3: Cross multiply
    68,802x = 91,745 × 91,745
  4. Step 4: Simplify right side
    68,802x = 8,417,145,025
  5. Step 5: Solve for x
    x = 8,417,145,025/68,802
  6. Step 6: Final answer
    x = 122,338.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.