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Finding the Third Proportional to 99,942 and 217,296

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Solution

The third proportional to 99,942 and 217,296 is: 472,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,942 : 217,296 = 217,296 : x
  2. Step 2: Convert to fraction form
    99,942/217,296 = 217,296/x
  3. Step 3: Cross multiply
    99,942x = 217,296 × 217,296
  4. Step 4: Simplify right side
    99,942x = 47,217,551,616
  5. Step 5: Solve for x
    x = 47,217,551,616/99,942
  6. Step 6: Final answer
    x = 472,449.54

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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.