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Finding the Third Proportional to 391,878 and 800,352

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Solution

The third proportional to 391,878 and 800,352 is: 1,634,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,878 : 800,352 = 800,352 : x
  2. Step 2: Convert to fraction form
    391,878/800,352 = 800,352/x
  3. Step 3: Cross multiply
    391,878x = 800,352 × 800,352
  4. Step 4: Simplify right side
    391,878x = 640,563,323,904
  5. Step 5: Solve for x
    x = 640,563,323,904/391,878
  6. Step 6: Final answer
    x = 1,634,598.84

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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.