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Finding the Third Proportional to 476,858 and 668,414

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Solution

The third proportional to 476,858 and 668,414 is: 936,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,858 : 668,414 = 668,414 : x
  2. Step 2: Convert to fraction form
    476,858/668,414 = 668,414/x
  3. Step 3: Cross multiply
    476,858x = 668,414 × 668,414
  4. Step 4: Simplify right side
    476,858x = 446,777,275,396
  5. Step 5: Solve for x
    x = 446,777,275,396/476,858
  6. Step 6: Final answer
    x = 936,918.91

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Why These Related Problems?

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