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Finding the Third Proportional to 96,866 and 208,575

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Solution

The third proportional to 96,866 and 208,575 is: 449,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,866 : 208,575 = 208,575 : x
  2. Step 2: Convert to fraction form
    96,866/208,575 = 208,575/x
  3. Step 3: Cross multiply
    96,866x = 208,575 × 208,575
  4. Step 4: Simplify right side
    96,866x = 43,503,530,625
  5. Step 5: Solve for x
    x = 43,503,530,625/96,866
  6. Step 6: Final answer
    x = 449,110.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.