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Finding the Third Proportional to 18,643.50 and 27,840.38

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Solution

The third proportional to 18,643.50 and 27,840.38 is: 41,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.50 : 27,840.38 = 27,840.38 : x
  2. Step 2: Convert to fraction form
    18,643.50/27,840.38 = 27,840.38/x
  3. Step 3: Cross multiply
    18,643.50x = 27,840.38 × 27,840.38
  4. Step 4: Simplify right side
    18,643.50x = 775,086,480.14
  5. Step 5: Solve for x
    x = 775,086,480.14/18,643.50
  6. Step 6: Final answer
    x = 41,574.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.