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Finding the Third Proportional to 398,744 and 568,740

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Solution

The third proportional to 398,744 and 568,740 is: 811,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,744 : 568,740 = 568,740 : x
  2. Step 2: Convert to fraction form
    398,744/568,740 = 568,740/x
  3. Step 3: Cross multiply
    398,744x = 568,740 × 568,740
  4. Step 4: Simplify right side
    398,744x = 323,465,187,600
  5. Step 5: Solve for x
    x = 323,465,187,600/398,744
  6. Step 6: Final answer
    x = 811,210.17

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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.