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Finding the Third Proportional to 1,911.56 and 2,831.81

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Solution

The third proportional to 1,911.56 and 2,831.81 is: 4,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.56 : 2,831.81 = 2,831.81 : x
  2. Step 2: Convert to fraction form
    1,911.56/2,831.81 = 2,831.81/x
  3. Step 3: Cross multiply
    1,911.56x = 2,831.81 × 2,831.81
  4. Step 4: Simplify right side
    1,911.56x = 8,019,162.04
  5. Step 5: Solve for x
    x = 8,019,162.04/1,911.56
  6. Step 6: Final answer
    x = 4,195.08

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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.