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Finding the Third Proportional to 18,231 and 23,939

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Solution

The third proportional to 18,231 and 23,939 is: 31,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,231 : 23,939 = 23,939 : x
  2. Step 2: Convert to fraction form
    18,231/23,939 = 23,939/x
  3. Step 3: Cross multiply
    18,231x = 23,939 × 23,939
  4. Step 4: Simplify right side
    18,231x = 573,075,721
  5. Step 5: Solve for x
    x = 573,075,721/18,231
  6. Step 6: Final answer
    x = 31,434.14

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.