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Finding the Third Proportional to 20,515 and 26,935

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Solution

The third proportional to 20,515 and 26,935 is: 35,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,515 : 26,935 = 26,935 : x
  2. Step 2: Convert to fraction form
    20,515/26,935 = 26,935/x
  3. Step 3: Cross multiply
    20,515x = 26,935 × 26,935
  4. Step 4: Simplify right side
    20,515x = 725,494,225
  5. Step 5: Solve for x
    x = 725,494,225/20,515
  6. Step 6: Final answer
    x = 35,364.09

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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.