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Finding the Third Proportional to 425,676 and 667,890

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Solution

The third proportional to 425,676 and 667,890 is: 1,047,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,676 : 667,890 = 667,890 : x
  2. Step 2: Convert to fraction form
    425,676/667,890 = 667,890/x
  3. Step 3: Cross multiply
    425,676x = 667,890 × 667,890
  4. Step 4: Simplify right side
    425,676x = 446,077,052,100
  5. Step 5: Solve for x
    x = 446,077,052,100/425,676
  6. Step 6: Final answer
    x = 1,047,926.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.