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Finding the Third Proportional to 10,167.75 and 23,754.38

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Solution

The third proportional to 10,167.75 and 23,754.38 is: 55,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.75 : 23,754.38 = 23,754.38 : x
  2. Step 2: Convert to fraction form
    10,167.75/23,754.38 = 23,754.38/x
  3. Step 3: Cross multiply
    10,167.75x = 23,754.38 × 23,754.38
  4. Step 4: Simplify right side
    10,167.75x = 564,270,331.64
  5. Step 5: Solve for x
    x = 564,270,331.64/10,167.75
  6. Step 6: Final answer
    x = 55,496.09

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.