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Finding the Third Proportional to 373,838 and 822,408

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Solution

The third proportional to 373,838 and 822,408 is: 1,809,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,838 : 822,408 = 822,408 : x
  2. Step 2: Convert to fraction form
    373,838/822,408 = 822,408/x
  3. Step 3: Cross multiply
    373,838x = 822,408 × 822,408
  4. Step 4: Simplify right side
    373,838x = 676,354,918,464
  5. Step 5: Solve for x
    x = 676,354,918,464/373,838
  6. Step 6: Final answer
    x = 1,809,219.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.