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Finding the Third Proportional to 422,286 and 879,519

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Solution

The third proportional to 422,286 and 879,519 is: 1,831,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,286 : 879,519 = 879,519 : x
  2. Step 2: Convert to fraction form
    422,286/879,519 = 879,519/x
  3. Step 3: Cross multiply
    422,286x = 879,519 × 879,519
  4. Step 4: Simplify right side
    422,286x = 773,553,671,361
  5. Step 5: Solve for x
    x = 773,553,671,361/422,286
  6. Step 6: Final answer
    x = 1,831,824.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.