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Finding the Third Proportional to 311,360 and 659,740

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Solution

The third proportional to 311,360 and 659,740 is: 1,397,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,360 : 659,740 = 659,740 : x
  2. Step 2: Convert to fraction form
    311,360/659,740 = 659,740/x
  3. Step 3: Cross multiply
    311,360x = 659,740 × 659,740
  4. Step 4: Simplify right side
    311,360x = 435,256,867,600
  5. Step 5: Solve for x
    x = 435,256,867,600/311,360
  6. Step 6: Final answer
    x = 1,397,921.59

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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.