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Finding the Third Proportional to 20,979 and 32,745

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Solution

The third proportional to 20,979 and 32,745 is: 51,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,979 : 32,745 = 32,745 : x
  2. Step 2: Convert to fraction form
    20,979/32,745 = 32,745/x
  3. Step 3: Cross multiply
    20,979x = 32,745 × 32,745
  4. Step 4: Simplify right side
    20,979x = 1,072,235,025
  5. Step 5: Solve for x
    x = 1,072,235,025/20,979
  6. Step 6: Final answer
    x = 51,109.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.