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Finding the Third Proportional to 99,938 and 212,823

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Solution

The third proportional to 99,938 and 212,823 is: 453,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,938 : 212,823 = 212,823 : x
  2. Step 2: Convert to fraction form
    99,938/212,823 = 212,823/x
  3. Step 3: Cross multiply
    99,938x = 212,823 × 212,823
  4. Step 4: Simplify right side
    99,938x = 45,293,629,329
  5. Step 5: Solve for x
    x = 45,293,629,329/99,938
  6. Step 6: Final answer
    x = 453,217.29

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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.