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Finding the Third Proportional to 3,831.68 and 8,210.11

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Solution

The third proportional to 3,831.68 and 8,210.11 is: 17,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.68 : 8,210.11 = 8,210.11 : x
  2. Step 2: Convert to fraction form
    3,831.68/8,210.11 = 8,210.11/x
  3. Step 3: Cross multiply
    3,831.68x = 8,210.11 × 8,210.11
  4. Step 4: Simplify right side
    3,831.68x = 67,405,895.95
  5. Step 5: Solve for x
    x = 67,405,895.95/3,831.68
  6. Step 6: Final answer
    x = 17,591.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.