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Finding the Third Proportional to 831.63 and 1,231.25

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Solution

The third proportional to 831.63 and 1,231.25 is: 1,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.63 : 1,231.25 = 1,231.25 : x
  2. Step 2: Convert to fraction form
    831.63/1,231.25 = 1,231.25/x
  3. Step 3: Cross multiply
    831.63x = 1,231.25 × 1,231.25
  4. Step 4: Simplify right side
    831.63x = 1,515,976.56
  5. Step 5: Solve for x
    x = 1,515,976.56/831.63
  6. Step 6: Final answer
    x = 1,822.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.