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Finding the Third Proportional to 398,786 and 568,795

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Solution

The third proportional to 398,786 and 568,795 is: 811,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,786 : 568,795 = 568,795 : x
  2. Step 2: Convert to fraction form
    398,786/568,795 = 568,795/x
  3. Step 3: Cross multiply
    398,786x = 568,795 × 568,795
  4. Step 4: Simplify right side
    398,786x = 323,527,752,025
  5. Step 5: Solve for x
    x = 323,527,752,025/398,786
  6. Step 6: Final answer
    x = 811,281.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.