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Finding the Third Proportional to 153,806 and 206,949

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Solution

The third proportional to 153,806 and 206,949 is: 278,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,806 : 206,949 = 206,949 : x
  2. Step 2: Convert to fraction form
    153,806/206,949 = 206,949/x
  3. Step 3: Cross multiply
    153,806x = 206,949 × 206,949
  4. Step 4: Simplify right side
    153,806x = 42,827,888,601
  5. Step 5: Solve for x
    x = 42,827,888,601/153,806
  6. Step 6: Final answer
    x = 278,453.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.