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Finding the Third Proportional to 183,401 and 378,588

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Solution

The third proportional to 183,401 and 378,588 is: 781,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,401 : 378,588 = 378,588 : x
  2. Step 2: Convert to fraction form
    183,401/378,588 = 378,588/x
  3. Step 3: Cross multiply
    183,401x = 378,588 × 378,588
  4. Step 4: Simplify right side
    183,401x = 143,328,873,744
  5. Step 5: Solve for x
    x = 143,328,873,744/183,401
  6. Step 6: Final answer
    x = 781,505.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.