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Finding the Third Proportional to 18,978 and 26,595

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Solution

The third proportional to 18,978 and 26,595 is: 37,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978 : 26,595 = 26,595 : x
  2. Step 2: Convert to fraction form
    18,978/26,595 = 26,595/x
  3. Step 3: Cross multiply
    18,978x = 26,595 × 26,595
  4. Step 4: Simplify right side
    18,978x = 707,294,025
  5. Step 5: Solve for x
    x = 707,294,025/18,978
  6. Step 6: Final answer
    x = 37,269.16

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.