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Finding the Third Proportional to 476,854 and 668,409

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Solution

The third proportional to 476,854 and 668,409 is: 936,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,854 : 668,409 = 668,409 : x
  2. Step 2: Convert to fraction form
    476,854/668,409 = 668,409/x
  3. Step 3: Cross multiply
    476,854x = 668,409 × 668,409
  4. Step 4: Simplify right side
    476,854x = 446,770,591,281
  5. Step 5: Solve for x
    x = 446,770,591,281/476,854
  6. Step 6: Final answer
    x = 936,912.75

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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.