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Finding the Third Proportional to 311,474 and 670,332

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Solution

The third proportional to 311,474 and 670,332 is: 1,442,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,474 : 670,332 = 670,332 : x
  2. Step 2: Convert to fraction form
    311,474/670,332 = 670,332/x
  3. Step 3: Cross multiply
    311,474x = 670,332 × 670,332
  4. Step 4: Simplify right side
    311,474x = 449,344,990,224
  5. Step 5: Solve for x
    x = 449,344,990,224/311,474
  6. Step 6: Final answer
    x = 1,442,640.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.