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Finding the Third Proportional to 18,338 and 31,971

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Solution

The third proportional to 18,338 and 31,971 is: 55,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,338 : 31,971 = 31,971 : x
  2. Step 2: Convert to fraction form
    18,338/31,971 = 31,971/x
  3. Step 3: Cross multiply
    18,338x = 31,971 × 31,971
  4. Step 4: Simplify right side
    18,338x = 1,022,144,841
  5. Step 5: Solve for x
    x = 1,022,144,841/18,338
  6. Step 6: Final answer
    x = 55,739.17

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.