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Finding the Third Proportional to 12,800 and 27,688

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Solution

The third proportional to 12,800 and 27,688 is: 59,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800 : 27,688 = 27,688 : x
  2. Step 2: Convert to fraction form
    12,800/27,688 = 27,688/x
  3. Step 3: Cross multiply
    12,800x = 27,688 × 27,688
  4. Step 4: Simplify right side
    12,800x = 766,625,344
  5. Step 5: Solve for x
    x = 766,625,344/12,800
  6. Step 6: Final answer
    x = 59,892.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.