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Finding the Third Proportional to 99,038 and 213,857

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Solution

The third proportional to 99,038 and 213,857 is: 461,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,038 : 213,857 = 213,857 : x
  2. Step 2: Convert to fraction form
    99,038/213,857 = 213,857/x
  3. Step 3: Cross multiply
    99,038x = 213,857 × 213,857
  4. Step 4: Simplify right side
    99,038x = 45,734,816,449
  5. Step 5: Solve for x
    x = 45,734,816,449/99,038
  6. Step 6: Final answer
    x = 461,790.59

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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.