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Finding the Third Proportional to 20,700 and 27,675

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Solution

The third proportional to 20,700 and 27,675 is: 37,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700 : 27,675 = 27,675 : x
  2. Step 2: Convert to fraction form
    20,700/27,675 = 27,675/x
  3. Step 3: Cross multiply
    20,700x = 27,675 × 27,675
  4. Step 4: Simplify right side
    20,700x = 765,905,625
  5. Step 5: Solve for x
    x = 765,905,625/20,700
  6. Step 6: Final answer
    x = 37,000.27

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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.