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Finding the Third Proportional to 18,701 and 41,289

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Solution

The third proportional to 18,701 and 41,289 is: 91,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,701 : 41,289 = 41,289 : x
  2. Step 2: Convert to fraction form
    18,701/41,289 = 41,289/x
  3. Step 3: Cross multiply
    18,701x = 41,289 × 41,289
  4. Step 4: Simplify right side
    18,701x = 1,704,781,521
  5. Step 5: Solve for x
    x = 1,704,781,521/18,701
  6. Step 6: Final answer
    x = 91,159.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.