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Finding the Third Proportional to 20,105.72 and 26,438.91

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Solution

The third proportional to 20,105.72 and 26,438.91 is: 34,767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.72 : 26,438.91 = 26,438.91 : x
  2. Step 2: Convert to fraction form
    20,105.72/26,438.91 = 26,438.91/x
  3. Step 3: Cross multiply
    20,105.72x = 26,438.91 × 26,438.91
  4. Step 4: Simplify right side
    20,105.72x = 699,015,763.70
  5. Step 5: Solve for x
    x = 699,015,763.70/20,105.72
  6. Step 6: Final answer
    x = 34,767.01

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.