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Finding the Third Proportional to 99,934 and 212,815

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Solution

The third proportional to 99,934 and 212,815 is: 453,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,934 : 212,815 = 212,815 : x
  2. Step 2: Convert to fraction form
    99,934/212,815 = 212,815/x
  3. Step 3: Cross multiply
    99,934x = 212,815 × 212,815
  4. Step 4: Simplify right side
    99,934x = 45,290,224,225
  5. Step 5: Solve for x
    x = 45,290,224,225/99,934
  6. Step 6: Final answer
    x = 453,201.36

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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.