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Finding the Third Proportional to 1,831.13 and 3,972.75

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Solution

The third proportional to 1,831.13 and 3,972.75 is: 8,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.13 : 3,972.75 = 3,972.75 : x
  2. Step 2: Convert to fraction form
    1,831.13/3,972.75 = 3,972.75/x
  3. Step 3: Cross multiply
    1,831.13x = 3,972.75 × 3,972.75
  4. Step 4: Simplify right side
    1,831.13x = 15,782,742.56
  5. Step 5: Solve for x
    x = 15,782,742.56/1,831.13
  6. Step 6: Final answer
    x = 8,619.15

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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.