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Finding the Third Proportional to 20,142 and 41,580

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Solution

The third proportional to 20,142 and 41,580 is: 85,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 41,580 = 41,580 : x
  2. Step 2: Convert to fraction form
    20,142/41,580 = 41,580/x
  3. Step 3: Cross multiply
    20,142x = 41,580 × 41,580
  4. Step 4: Simplify right side
    20,142x = 1,728,896,400
  5. Step 5: Solve for x
    x = 1,728,896,400/20,142
  6. Step 6: Final answer
    x = 85,835.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.