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Finding the Third Proportional to 18,561 and 40,197

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Solution

The third proportional to 18,561 and 40,197 is: 87,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561 : 40,197 = 40,197 : x
  2. Step 2: Convert to fraction form
    18,561/40,197 = 40,197/x
  3. Step 3: Cross multiply
    18,561x = 40,197 × 40,197
  4. Step 4: Simplify right side
    18,561x = 1,615,798,809
  5. Step 5: Solve for x
    x = 1,615,798,809/18,561
  6. Step 6: Final answer
    x = 87,053.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.