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Finding the Third Proportional to 99,341 and 212,889

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Solution

The third proportional to 99,341 and 212,889 is: 456,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,341 : 212,889 = 212,889 : x
  2. Step 2: Convert to fraction form
    99,341/212,889 = 212,889/x
  3. Step 3: Cross multiply
    99,341x = 212,889 × 212,889
  4. Step 4: Simplify right side
    99,341x = 45,321,726,321
  5. Step 5: Solve for x
    x = 45,321,726,321/99,341
  6. Step 6: Final answer
    x = 456,223.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.