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Finding the Third Proportional to 369,401 and 801,857

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Solution

The third proportional to 369,401 and 801,857 is: 1,740,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,401 : 801,857 = 801,857 : x
  2. Step 2: Convert to fraction form
    369,401/801,857 = 801,857/x
  3. Step 3: Cross multiply
    369,401x = 801,857 × 801,857
  4. Step 4: Simplify right side
    369,401x = 642,974,648,449
  5. Step 5: Solve for x
    x = 642,974,648,449/369,401
  6. Step 6: Final answer
    x = 1,740,587.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.