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Finding the Third Proportional to 338,376 and 752,401

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Solution

The third proportional to 338,376 and 752,401 is: 1,673,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,376 : 752,401 = 752,401 : x
  2. Step 2: Convert to fraction form
    338,376/752,401 = 752,401/x
  3. Step 3: Cross multiply
    338,376x = 752,401 × 752,401
  4. Step 4: Simplify right side
    338,376x = 566,107,264,801
  5. Step 5: Solve for x
    x = 566,107,264,801/338,376
  6. Step 6: Final answer
    x = 1,673,012.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.