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Finding the Third Proportional to 21,042 and 36,171

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Solution

The third proportional to 21,042 and 36,171 is: 62,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042 : 36,171 = 36,171 : x
  2. Step 2: Convert to fraction form
    21,042/36,171 = 36,171/x
  3. Step 3: Cross multiply
    21,042x = 36,171 × 36,171
  4. Step 4: Simplify right side
    21,042x = 1,308,341,241
  5. Step 5: Solve for x
    x = 1,308,341,241/21,042
  6. Step 6: Final answer
    x = 62,177.61

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.