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Finding the Third Proportional to 311,350.71 and 659,722.22

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Solution

The third proportional to 311,350.71 and 659,722.22 is: 1,397,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,350.71 : 659,722.22 = 659,722.22 : x
  2. Step 2: Convert to fraction form
    311,350.71/659,722.22 = 659,722.22/x
  3. Step 3: Cross multiply
    311,350.71x = 659,722.22 × 659,722.22
  4. Step 4: Simplify right side
    311,350.71x = 435,233,405,912.42
  5. Step 5: Solve for x
    x = 435,233,405,912.42/311,350.71
  6. Step 6: Final answer
    x = 1,397,887.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.