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Finding the Third Proportional to 96,802 and 207,611

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Solution

The third proportional to 96,802 and 207,611 is: 445,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,802 : 207,611 = 207,611 : x
  2. Step 2: Convert to fraction form
    96,802/207,611 = 207,611/x
  3. Step 3: Cross multiply
    96,802x = 207,611 × 207,611
  4. Step 4: Simplify right side
    96,802x = 43,102,327,321
  5. Step 5: Solve for x
    x = 43,102,327,321/96,802
  6. Step 6: Final answer
    x = 445,262.78

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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.