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Finding the Third Proportional to 383,286 and 806,304

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Solution

The third proportional to 383,286 and 806,304 is: 1,696,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,286 : 806,304 = 806,304 : x
  2. Step 2: Convert to fraction form
    383,286/806,304 = 806,304/x
  3. Step 3: Cross multiply
    383,286x = 806,304 × 806,304
  4. Step 4: Simplify right side
    383,286x = 650,126,140,416
  5. Step 5: Solve for x
    x = 650,126,140,416/383,286
  6. Step 6: Final answer
    x = 1,696,190.68

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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.