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Finding the Third Proportional to 5,200 and 10,115

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Solution

The third proportional to 5,200 and 10,115 is: 19,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200 : 10,115 = 10,115 : x
  2. Step 2: Convert to fraction form
    5,200/10,115 = 10,115/x
  3. Step 3: Cross multiply
    5,200x = 10,115 × 10,115
  4. Step 4: Simplify right side
    5,200x = 102,313,225
  5. Step 5: Solve for x
    x = 102,313,225/5,200
  6. Step 6: Final answer
    x = 19,675.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.