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Finding the Third Proportional to 383,271 and 806,268

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Solution

The third proportional to 383,271 and 806,268 is: 1,696,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,271 : 806,268 = 806,268 : x
  2. Step 2: Convert to fraction form
    383,271/806,268 = 806,268/x
  3. Step 3: Cross multiply
    383,271x = 806,268 × 806,268
  4. Step 4: Simplify right side
    383,271x = 650,068,087,824
  5. Step 5: Solve for x
    x = 650,068,087,824/383,271
  6. Step 6: Final answer
    x = 1,696,105.60

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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.