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Finding the Third Proportional to 99,717 and 218,145

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Solution

The third proportional to 99,717 and 218,145 is: 477,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,717 : 218,145 = 218,145 : x
  2. Step 2: Convert to fraction form
    99,717/218,145 = 218,145/x
  3. Step 3: Cross multiply
    99,717x = 218,145 × 218,145
  4. Step 4: Simplify right side
    99,717x = 47,587,241,025
  5. Step 5: Solve for x
    x = 47,587,241,025/99,717
  6. Step 6: Final answer
    x = 477,222.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.