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Finding the Third Proportional to 311,426.44 and 679,132.69

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Solution

The third proportional to 311,426.44 and 679,132.69 is: 1,480,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,426.44 : 679,132.69 = 679,132.69 : x
  2. Step 2: Convert to fraction form
    311,426.44/679,132.69 = 679,132.69/x
  3. Step 3: Cross multiply
    311,426.44x = 679,132.69 × 679,132.69
  4. Step 4: Simplify right side
    311,426.44x = 461,221,207,230.97
  5. Step 5: Solve for x
    x = 461,221,207,230.97/311,426.44
  6. Step 6: Final answer
    x = 1,480,995.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.