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Finding the Third Proportional to 311,320.50 and 649,191.75

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Solution

The third proportional to 311,320.50 and 649,191.75 is: 1,353,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,320.50 : 649,191.75 = 649,191.75 : x
  2. Step 2: Convert to fraction form
    311,320.50/649,191.75 = 649,191.75/x
  3. Step 3: Cross multiply
    311,320.50x = 649,191.75 × 649,191.75
  4. Step 4: Simplify right side
    311,320.50x = 421,449,928,268.06
  5. Step 5: Solve for x
    x = 421,449,928,268.06/311,320.50
  6. Step 6: Final answer
    x = 1,353,749.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.