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Finding the Third Proportional to 20,815.75 and 31,745

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Solution

The third proportional to 20,815.75 and 31,745 is: 48,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,815.75 : 31,745 = 31,745 : x
  2. Step 2: Convert to fraction form
    20,815.75/31,745 = 31,745/x
  3. Step 3: Cross multiply
    20,815.75x = 31,745 × 31,745
  4. Step 4: Simplify right side
    20,815.75x = 1,007,745,025
  5. Step 5: Solve for x
    x = 1,007,745,025/20,815.75
  6. Step 6: Final answer
    x = 48,412.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.