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Finding the Third Proportional to 96,806 and 208,446

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Solution

The third proportional to 96,806 and 208,446 is: 448,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,806 : 208,446 = 208,446 : x
  2. Step 2: Convert to fraction form
    96,806/208,446 = 208,446/x
  3. Step 3: Cross multiply
    96,806x = 208,446 × 208,446
  4. Step 4: Simplify right side
    96,806x = 43,449,734,916
  5. Step 5: Solve for x
    x = 43,449,734,916/96,806
  6. Step 6: Final answer
    x = 448,833.08

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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.