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Finding the Third Proportional to 133,802 and 206,699

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Solution

The third proportional to 133,802 and 206,699 is: 319,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,802 : 206,699 = 206,699 : x
  2. Step 2: Convert to fraction form
    133,802/206,699 = 206,699/x
  3. Step 3: Cross multiply
    133,802x = 206,699 × 206,699
  4. Step 4: Simplify right side
    133,802x = 42,724,476,601
  5. Step 5: Solve for x
    x = 42,724,476,601/133,802
  6. Step 6: Final answer
    x = 319,311.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.