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Finding the Third Proportional to 99,857 and 217,213

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Solution

The third proportional to 99,857 and 217,213 is: 472,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,857 : 217,213 = 217,213 : x
  2. Step 2: Convert to fraction form
    99,857/217,213 = 217,213/x
  3. Step 3: Cross multiply
    99,857x = 217,213 × 217,213
  4. Step 4: Simplify right side
    99,857x = 47,181,487,369
  5. Step 5: Solve for x
    x = 47,181,487,369/99,857
  6. Step 6: Final answer
    x = 472,490.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.