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Finding the Third Proportional to 69,723.25 and 143,572.75

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Solution

The third proportional to 69,723.25 and 143,572.75 is: 295,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,723.25 : 143,572.75 = 143,572.75 : x
  2. Step 2: Convert to fraction form
    69,723.25/143,572.75 = 143,572.75/x
  3. Step 3: Cross multiply
    69,723.25x = 143,572.75 × 143,572.75
  4. Step 4: Simplify right side
    69,723.25x = 20,613,134,542.56
  5. Step 5: Solve for x
    x = 20,613,134,542.56/69,723.25
  6. Step 6: Final answer
    x = 295,642.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.