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Finding the Third Proportional to 311,682.50 and 672,571

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Solution

The third proportional to 311,682.50 and 672,571 is: 1,451,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,682.50 : 672,571 = 672,571 : x
  2. Step 2: Convert to fraction form
    311,682.50/672,571 = 672,571/x
  3. Step 3: Cross multiply
    311,682.50x = 672,571 × 672,571
  4. Step 4: Simplify right side
    311,682.50x = 452,351,750,041
  5. Step 5: Solve for x
    x = 452,351,750,041/311,682.50
  6. Step 6: Final answer
    x = 1,451,322.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.