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Finding the Third Proportional to 20,121 and 26,835

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Solution

The third proportional to 20,121 and 26,835 is: 35,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121 : 26,835 = 26,835 : x
  2. Step 2: Convert to fraction form
    20,121/26,835 = 26,835/x
  3. Step 3: Cross multiply
    20,121x = 26,835 × 26,835
  4. Step 4: Simplify right side
    20,121x = 720,117,225
  5. Step 5: Solve for x
    x = 720,117,225/20,121
  6. Step 6: Final answer
    x = 35,789.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.