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Finding the Third Proportional to 7,867.13 and 17,723.81

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Solution

The third proportional to 7,867.13 and 17,723.81 is: 39,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.13 : 17,723.81 = 17,723.81 : x
  2. Step 2: Convert to fraction form
    7,867.13/17,723.81 = 17,723.81/x
  3. Step 3: Cross multiply
    7,867.13x = 17,723.81 × 17,723.81
  4. Step 4: Simplify right side
    7,867.13x = 314,133,529.54
  5. Step 5: Solve for x
    x = 314,133,529.54/7,867.13
  6. Step 6: Final answer
    x = 39,929.90

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.