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Finding the Third Proportional to 99.35 and 211.99

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Solution

The third proportional to 99.35 and 211.99 is: 452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.35 : 211.99 = 211.99 : x
  2. Step 2: Convert to fraction form
    99.35/211.99 = 211.99/x
  3. Step 3: Cross multiply
    99.35x = 211.99 × 211.99
  4. Step 4: Simplify right side
    99.35x = 44,940.69
  5. Step 5: Solve for x
    x = 44,940.69/99.35
  6. Step 6: Final answer
    x = 452.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.