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Finding the Third Proportional to 99,832 and 216,917

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Solution

The third proportional to 99,832 and 216,917 is: 471,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,832 : 216,917 = 216,917 : x
  2. Step 2: Convert to fraction form
    99,832/216,917 = 216,917/x
  3. Step 3: Cross multiply
    99,832x = 216,917 × 216,917
  4. Step 4: Simplify right side
    99,832x = 47,052,984,889
  5. Step 5: Solve for x
    x = 47,052,984,889/99,832
  6. Step 6: Final answer
    x = 471,321.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.