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Finding the Third Proportional to 641,401 and 1,384,497

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Solution

The third proportional to 641,401 and 1,384,497 is: 2,988,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,401 : 1,384,497 = 1,384,497 : x
  2. Step 2: Convert to fraction form
    641,401/1,384,497 = 1,384,497/x
  3. Step 3: Cross multiply
    641,401x = 1,384,497 × 1,384,497
  4. Step 4: Simplify right side
    641,401x = 1,916,831,943,009
  5. Step 5: Solve for x
    x = 1,916,831,943,009/641,401
  6. Step 6: Final answer
    x = 2,988,507.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.