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Finding the Third Proportional to 69,626 and 142,939

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Solution

The third proportional to 69,626 and 142,939 is: 293,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,626 : 142,939 = 142,939 : x
  2. Step 2: Convert to fraction form
    69,626/142,939 = 142,939/x
  3. Step 3: Cross multiply
    69,626x = 142,939 × 142,939
  4. Step 4: Simplify right side
    69,626x = 20,431,557,721
  5. Step 5: Solve for x
    x = 20,431,557,721/69,626
  6. Step 6: Final answer
    x = 293,447.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.