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Finding the Third Proportional to 12,866 and 19,251

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Solution

The third proportional to 12,866 and 19,251 is: 28,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866 : 19,251 = 19,251 : x
  2. Step 2: Convert to fraction form
    12,866/19,251 = 19,251/x
  3. Step 3: Cross multiply
    12,866x = 19,251 × 19,251
  4. Step 4: Simplify right side
    12,866x = 370,601,001
  5. Step 5: Solve for x
    x = 370,601,001/12,866
  6. Step 6: Final answer
    x = 28,804.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.