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Finding the Third Proportional to 383,448 and 822,408

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Solution

The third proportional to 383,448 and 822,408 is: 1,763,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,448 : 822,408 = 822,408 : x
  2. Step 2: Convert to fraction form
    383,448/822,408 = 822,408/x
  3. Step 3: Cross multiply
    383,448x = 822,408 × 822,408
  4. Step 4: Simplify right side
    383,448x = 676,354,918,464
  5. Step 5: Solve for x
    x = 676,354,918,464/383,448
  6. Step 6: Final answer
    x = 1,763,876.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.