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Finding the Third Proportional to 397.50 and 831.38

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Solution

The third proportional to 397.50 and 831.38 is: 1,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.50 : 831.38 = 831.38 : x
  2. Step 2: Convert to fraction form
    397.50/831.38 = 831.38/x
  3. Step 3: Cross multiply
    397.50x = 831.38 × 831.38
  4. Step 4: Simplify right side
    397.50x = 691,184.39
  5. Step 5: Solve for x
    x = 691,184.39/397.50
  6. Step 6: Final answer
    x = 1,738.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.