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Finding the Third Proportional to 69,724.13 and 143,574.75

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Solution

The third proportional to 69,724.13 and 143,574.75 is: 295,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,724.13 : 143,574.75 = 143,574.75 : x
  2. Step 2: Convert to fraction form
    69,724.13/143,574.75 = 143,574.75/x
  3. Step 3: Cross multiply
    69,724.13x = 143,574.75 × 143,574.75
  4. Step 4: Simplify right side
    69,724.13x = 20,613,708,837.56
  5. Step 5: Solve for x
    x = 20,613,708,837.56/69,724.13
  6. Step 6: Final answer
    x = 295,646.72

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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.