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Finding the Third Proportional to 373,205 and 809,401

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Solution

The third proportional to 373,205 and 809,401 is: 1,755,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,205 : 809,401 = 809,401 : x
  2. Step 2: Convert to fraction form
    373,205/809,401 = 809,401/x
  3. Step 3: Cross multiply
    373,205x = 809,401 × 809,401
  4. Step 4: Simplify right side
    373,205x = 655,129,978,801
  5. Step 5: Solve for x
    x = 655,129,978,801/373,205
  6. Step 6: Final answer
    x = 1,755,415.87

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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.