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Finding the Third Proportional to 218,437 and 476,401

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Solution

The third proportional to 218,437 and 476,401 is: 1,039,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,437 : 476,401 = 476,401 : x
  2. Step 2: Convert to fraction form
    218,437/476,401 = 476,401/x
  3. Step 3: Cross multiply
    218,437x = 476,401 × 476,401
  4. Step 4: Simplify right side
    218,437x = 226,957,912,801
  5. Step 5: Solve for x
    x = 226,957,912,801/218,437
  6. Step 6: Final answer
    x = 1,039,008.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.