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Finding the Third Proportional to 476,874 and 668,385

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Solution

The third proportional to 476,874 and 668,385 is: 936,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,874 : 668,385 = 668,385 : x
  2. Step 2: Convert to fraction form
    476,874/668,385 = 668,385/x
  3. Step 3: Cross multiply
    476,874x = 668,385 × 668,385
  4. Step 4: Simplify right side
    476,874x = 446,738,508,225
  5. Step 5: Solve for x
    x = 446,738,508,225/476,874
  6. Step 6: Final answer
    x = 936,806.18

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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.