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Finding the Third Proportional to 476,849 and 668,401

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Solution

The third proportional to 476,849 and 668,401 is: 936,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,849 : 668,401 = 668,401 : x
  2. Step 2: Convert to fraction form
    476,849/668,401 = 668,401/x
  3. Step 3: Cross multiply
    476,849x = 668,401 × 668,401
  4. Step 4: Simplify right side
    476,849x = 446,759,896,801
  5. Step 5: Solve for x
    x = 446,759,896,801/476,849
  6. Step 6: Final answer
    x = 936,900.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.