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Finding the Third Proportional to 391,852 and 800,304

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Solution

The third proportional to 391,852 and 800,304 is: 1,634,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,852 : 800,304 = 800,304 : x
  2. Step 2: Convert to fraction form
    391,852/800,304 = 800,304/x
  3. Step 3: Cross multiply
    391,852x = 800,304 × 800,304
  4. Step 4: Simplify right side
    391,852x = 640,486,492,416
  5. Step 5: Solve for x
    x = 640,486,492,416/391,852
  6. Step 6: Final answer
    x = 1,634,511.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.