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Finding the Third Proportional to 135,972 and 291,626

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Solution

The third proportional to 135,972 and 291,626 is: 625,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,972 : 291,626 = 291,626 : x
  2. Step 2: Convert to fraction form
    135,972/291,626 = 291,626/x
  3. Step 3: Cross multiply
    135,972x = 291,626 × 291,626
  4. Step 4: Simplify right side
    135,972x = 85,045,723,876
  5. Step 5: Solve for x
    x = 85,045,723,876/135,972
  6. Step 6: Final answer
    x = 625,464.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.