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Finding the Third Proportional to 688,388.25 and 1,491,185.88

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Solution

The third proportional to 688,388.25 and 1,491,185.88 is: 3,230,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,388.25 : 1,491,185.88 = 1,491,185.88 : x
  2. Step 2: Convert to fraction form
    688,388.25/1,491,185.88 = 1,491,185.88/x
  3. Step 3: Cross multiply
    688,388.25x = 1,491,185.88 × 1,491,185.88
  4. Step 4: Simplify right side
    688,388.25x = 2,223,635,313,799.52
  5. Step 5: Solve for x
    x = 2,223,635,313,799.52/688,388.25
  6. Step 6: Final answer
    x = 3,230,205.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.