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Finding the Third Proportional to 831.09 and 2,187.84

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Solution

The third proportional to 831.09 and 2,187.84 is: 5,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.09 : 2,187.84 = 2,187.84 : x
  2. Step 2: Convert to fraction form
    831.09/2,187.84 = 2,187.84/x
  3. Step 3: Cross multiply
    831.09x = 2,187.84 × 2,187.84
  4. Step 4: Simplify right side
    831.09x = 4,786,660.27
  5. Step 5: Solve for x
    x = 4,786,660.27/831.09
  6. Step 6: Final answer
    x = 5,759.47

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.