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Finding the Third Proportional to 1,831.78 and 3,021.05

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Solution

The third proportional to 1,831.78 and 3,021.05 is: 4,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.78 : 3,021.05 = 3,021.05 : x
  2. Step 2: Convert to fraction form
    1,831.78/3,021.05 = 3,021.05/x
  3. Step 3: Cross multiply
    1,831.78x = 3,021.05 × 3,021.05
  4. Step 4: Simplify right side
    1,831.78x = 9,126,724.22
  5. Step 5: Solve for x
    x = 9,126,724.22/1,831.78
  6. Step 6: Final answer
    x = 4,982.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.