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Finding the Third Proportional to 383,240 and 806,168

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Solution

The third proportional to 383,240 and 806,168 is: 1,695,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,240 : 806,168 = 806,168 : x
  2. Step 2: Convert to fraction form
    383,240/806,168 = 806,168/x
  3. Step 3: Cross multiply
    383,240x = 806,168 × 806,168
  4. Step 4: Simplify right side
    383,240x = 649,906,844,224
  5. Step 5: Solve for x
    x = 649,906,844,224/383,240
  6. Step 6: Final answer
    x = 1,695,822.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.