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Finding the Third Proportional to 240,198.75 and 555,999.75

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Solution

The third proportional to 240,198.75 and 555,999.75 is: 1,286,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,198.75 : 555,999.75 = 555,999.75 : x
  2. Step 2: Convert to fraction form
    240,198.75/555,999.75 = 555,999.75/x
  3. Step 3: Cross multiply
    240,198.75x = 555,999.75 × 555,999.75
  4. Step 4: Simplify right side
    240,198.75x = 309,135,722,000.06
  5. Step 5: Solve for x
    x = 309,135,722,000.06/240,198.75
  6. Step 6: Final answer
    x = 1,286,999.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.