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Finding the Third Proportional to 1,728.84 and 3,831.05

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Solution

The third proportional to 1,728.84 and 3,831.05 is: 8,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.84 : 3,831.05 = 3,831.05 : x
  2. Step 2: Convert to fraction form
    1,728.84/3,831.05 = 3,831.05/x
  3. Step 3: Cross multiply
    1,728.84x = 3,831.05 × 3,831.05
  4. Step 4: Simplify right side
    1,728.84x = 14,676,920.16
  5. Step 5: Solve for x
    x = 14,676,920.16/1,728.84
  6. Step 6: Final answer
    x = 8,489.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.