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Finding the Third Proportional to 297,997.50 and 649,191.75

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Solution

The third proportional to 297,997.50 and 649,191.75 is: 1,414,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,997.50 : 649,191.75 = 649,191.75 : x
  2. Step 2: Convert to fraction form
    297,997.50/649,191.75 = 649,191.75/x
  3. Step 3: Cross multiply
    297,997.50x = 649,191.75 × 649,191.75
  4. Step 4: Simplify right side
    297,997.50x = 421,449,928,268.06
  5. Step 5: Solve for x
    x = 421,449,928,268.06/297,997.50
  6. Step 6: Final answer
    x = 1,414,273.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.