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Finding the Third Proportional to 85,626 and 136,741

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Solution

The third proportional to 85,626 and 136,741 is: 218,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,626 : 136,741 = 136,741 : x
  2. Step 2: Convert to fraction form
    85,626/136,741 = 136,741/x
  3. Step 3: Cross multiply
    85,626x = 136,741 × 136,741
  4. Step 4: Simplify right side
    85,626x = 18,698,101,081
  5. Step 5: Solve for x
    x = 18,698,101,081/85,626
  6. Step 6: Final answer
    x = 218,369.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.