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Finding the Third Proportional to 18,976 and 40,416

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Solution

The third proportional to 18,976 and 40,416 is: 86,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,976 : 40,416 = 40,416 : x
  2. Step 2: Convert to fraction form
    18,976/40,416 = 40,416/x
  3. Step 3: Cross multiply
    18,976x = 40,416 × 40,416
  4. Step 4: Simplify right side
    18,976x = 1,633,453,056
  5. Step 5: Solve for x
    x = 1,633,453,056/18,976
  6. Step 6: Final answer
    x = 86,079.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.