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Finding the Third Proportional to 311,319 and 649,188.75

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Solution

The third proportional to 311,319 and 649,188.75 is: 1,353,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,319 : 649,188.75 = 649,188.75 : x
  2. Step 2: Convert to fraction form
    311,319/649,188.75 = 649,188.75/x
  3. Step 3: Cross multiply
    311,319x = 649,188.75 × 649,188.75
  4. Step 4: Simplify right side
    311,319x = 421,446,033,126.56
  5. Step 5: Solve for x
    x = 421,446,033,126.56/311,319
  6. Step 6: Final answer
    x = 1,353,743.37

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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.