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Finding the Third Proportional to 415,401 and 622,408

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Solution

The third proportional to 415,401 and 622,408 is: 932,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,401 : 622,408 = 622,408 : x
  2. Step 2: Convert to fraction form
    415,401/622,408 = 622,408/x
  3. Step 3: Cross multiply
    415,401x = 622,408 × 622,408
  4. Step 4: Simplify right side
    415,401x = 387,391,718,464
  5. Step 5: Solve for x
    x = 387,391,718,464/415,401
  6. Step 6: Final answer
    x = 932,572.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.