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Finding the Third Proportional to 18,717.75 and 40,257

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Solution

The third proportional to 18,717.75 and 40,257 is: 86,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,717.75 : 40,257 = 40,257 : x
  2. Step 2: Convert to fraction form
    18,717.75/40,257 = 40,257/x
  3. Step 3: Cross multiply
    18,717.75x = 40,257 × 40,257
  4. Step 4: Simplify right side
    18,717.75x = 1,620,626,049
  5. Step 5: Solve for x
    x = 1,620,626,049/18,717.75
  6. Step 6: Final answer
    x = 86,582.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.