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Finding the Third Proportional to 12,800 and 27,715

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Solution

The third proportional to 12,800 and 27,715 is: 60,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800 : 27,715 = 27,715 : x
  2. Step 2: Convert to fraction form
    12,800/27,715 = 27,715/x
  3. Step 3: Cross multiply
    12,800x = 27,715 × 27,715
  4. Step 4: Simplify right side
    12,800x = 768,121,225
  5. Step 5: Solve for x
    x = 768,121,225/12,800
  6. Step 6: Final answer
    x = 60,009.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.