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Finding the Third Proportional to 100,998 and 212,930

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Solution

The third proportional to 100,998 and 212,930 is: 448,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,998 : 212,930 = 212,930 : x
  2. Step 2: Convert to fraction form
    100,998/212,930 = 212,930/x
  3. Step 3: Cross multiply
    100,998x = 212,930 × 212,930
  4. Step 4: Simplify right side
    100,998x = 45,339,184,900
  5. Step 5: Solve for x
    x = 45,339,184,900/100,998
  6. Step 6: Final answer
    x = 448,911.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.