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Finding the Third Proportional to 3,939.26 and 5,831.05

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Solution

The third proportional to 3,939.26 and 5,831.05 is: 8,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.26 : 5,831.05 = 5,831.05 : x
  2. Step 2: Convert to fraction form
    3,939.26/5,831.05 = 5,831.05/x
  3. Step 3: Cross multiply
    3,939.26x = 5,831.05 × 5,831.05
  4. Step 4: Simplify right side
    3,939.26x = 34,001,153.21
  5. Step 5: Solve for x
    x = 34,001,153.21/3,939.26
  6. Step 6: Final answer
    x = 8,631.36

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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.