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Finding the Third Proportional to 99,218 and 213,988

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Solution

The third proportional to 99,218 and 213,988 is: 461,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,218 : 213,988 = 213,988 : x
  2. Step 2: Convert to fraction form
    99,218/213,988 = 213,988/x
  3. Step 3: Cross multiply
    99,218x = 213,988 × 213,988
  4. Step 4: Simplify right side
    99,218x = 45,790,864,144
  5. Step 5: Solve for x
    x = 45,790,864,144/99,218
  6. Step 6: Final answer
    x = 461,517.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.