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Finding the Third Proportional to 15,014 and 20,142

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Solution

The third proportional to 15,014 and 20,142 is: 27,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,014 : 20,142 = 20,142 : x
  2. Step 2: Convert to fraction form
    15,014/20,142 = 20,142/x
  3. Step 3: Cross multiply
    15,014x = 20,142 × 20,142
  4. Step 4: Simplify right side
    15,014x = 405,700,164
  5. Step 5: Solve for x
    x = 405,700,164/15,014
  6. Step 6: Final answer
    x = 27,021.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.