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Finding the Third Proportional to 311,049 and 680,418

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Solution

The third proportional to 311,049 and 680,418 is: 1,488,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,049 : 680,418 = 680,418 : x
  2. Step 2: Convert to fraction form
    311,049/680,418 = 680,418/x
  3. Step 3: Cross multiply
    311,049x = 680,418 × 680,418
  4. Step 4: Simplify right side
    311,049x = 462,968,654,724
  5. Step 5: Solve for x
    x = 462,968,654,724/311,049
  6. Step 6: Final answer
    x = 1,488,410.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.