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Finding the Third Proportional to 12,605 and 26,866

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Solution

The third proportional to 12,605 and 26,866 is: 57,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605 : 26,866 = 26,866 : x
  2. Step 2: Convert to fraction form
    12,605/26,866 = 26,866/x
  3. Step 3: Cross multiply
    12,605x = 26,866 × 26,866
  4. Step 4: Simplify right side
    12,605x = 721,781,956
  5. Step 5: Solve for x
    x = 721,781,956/12,605
  6. Step 6: Final answer
    x = 57,261.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.