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Finding the Third Proportional to 18,012 and 25,778

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Solution

The third proportional to 18,012 and 25,778 is: 36,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,012 : 25,778 = 25,778 : x
  2. Step 2: Convert to fraction form
    18,012/25,778 = 25,778/x
  3. Step 3: Cross multiply
    18,012x = 25,778 × 25,778
  4. Step 4: Simplify right side
    18,012x = 664,505,284
  5. Step 5: Solve for x
    x = 664,505,284/18,012
  6. Step 6: Final answer
    x = 36,892.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.