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Finding the Third Proportional to 12,902 and 27,908

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Solution

The third proportional to 12,902 and 27,908 is: 60,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902 : 27,908 = 27,908 : x
  2. Step 2: Convert to fraction form
    12,902/27,908 = 27,908/x
  3. Step 3: Cross multiply
    12,902x = 27,908 × 27,908
  4. Step 4: Simplify right side
    12,902x = 778,856,464
  5. Step 5: Solve for x
    x = 778,856,464/12,902
  6. Step 6: Final answer
    x = 60,367.11

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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.