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Finding the Third Proportional to 20,717.75 and 31,678.75

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Solution

The third proportional to 20,717.75 and 31,678.75 is: 48,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,717.75 : 31,678.75 = 31,678.75 : x
  2. Step 2: Convert to fraction form
    20,717.75/31,678.75 = 31,678.75/x
  3. Step 3: Cross multiply
    20,717.75x = 31,678.75 × 31,678.75
  4. Step 4: Simplify right side
    20,717.75x = 1,003,543,201.56
  5. Step 5: Solve for x
    x = 1,003,543,201.56/20,717.75
  6. Step 6: Final answer
    x = 48,438.81

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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.