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Finding the Third Proportional to 155,305 and 335,999

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Solution

The third proportional to 155,305 and 335,999 is: 726,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,305 : 335,999 = 335,999 : x
  2. Step 2: Convert to fraction form
    155,305/335,999 = 335,999/x
  3. Step 3: Cross multiply
    155,305x = 335,999 × 335,999
  4. Step 4: Simplify right side
    155,305x = 112,895,328,001
  5. Step 5: Solve for x
    x = 112,895,328,001/155,305
  6. Step 6: Final answer
    x = 726,926.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.