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Finding the Third Proportional to 99,900 and 209,035

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Solution

The third proportional to 99,900 and 209,035 is: 437,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,900 : 209,035 = 209,035 : x
  2. Step 2: Convert to fraction form
    99,900/209,035 = 209,035/x
  3. Step 3: Cross multiply
    99,900x = 209,035 × 209,035
  4. Step 4: Simplify right side
    99,900x = 43,695,631,225
  5. Step 5: Solve for x
    x = 43,695,631,225/99,900
  6. Step 6: Final answer
    x = 437,393.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.