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Finding the Third Proportional to 18,378 and 40,356

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Solution

The third proportional to 18,378 and 40,356 is: 88,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378 : 40,356 = 40,356 : x
  2. Step 2: Convert to fraction form
    18,378/40,356 = 40,356/x
  3. Step 3: Cross multiply
    18,378x = 40,356 × 40,356
  4. Step 4: Simplify right side
    18,378x = 1,628,606,736
  5. Step 5: Solve for x
    x = 1,628,606,736/18,378
  6. Step 6: Final answer
    x = 88,617.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.