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Finding the Third Proportional to 831.62 and 1,803.83

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Solution

The third proportional to 831.62 and 1,803.83 is: 3,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.62 : 1,803.83 = 1,803.83 : x
  2. Step 2: Convert to fraction form
    831.62/1,803.83 = 1,803.83/x
  3. Step 3: Cross multiply
    831.62x = 1,803.83 × 1,803.83
  4. Step 4: Simplify right side
    831.62x = 3,253,810.00
  5. Step 5: Solve for x
    x = 3,253,810.00/831.62
  6. Step 6: Final answer
    x = 3,912.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.