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Finding the Third Proportional to 12,729 and 27,906

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Solution

The third proportional to 12,729 and 27,906 is: 61,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729 : 27,906 = 27,906 : x
  2. Step 2: Convert to fraction form
    12,729/27,906 = 27,906/x
  3. Step 3: Cross multiply
    12,729x = 27,906 × 27,906
  4. Step 4: Simplify right side
    12,729x = 778,744,836
  5. Step 5: Solve for x
    x = 778,744,836/12,729
  6. Step 6: Final answer
    x = 61,178.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.