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Finding the Third Proportional to 18,780 and 40,226

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Solution

The third proportional to 18,780 and 40,226 is: 86,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,780 : 40,226 = 40,226 : x
  2. Step 2: Convert to fraction form
    18,780/40,226 = 40,226/x
  3. Step 3: Cross multiply
    18,780x = 40,226 × 40,226
  4. Step 4: Simplify right side
    18,780x = 1,618,131,076
  5. Step 5: Solve for x
    x = 1,618,131,076/18,780
  6. Step 6: Final answer
    x = 86,162.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.