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Finding the Third Proportional to 12,591 and 27,135

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Solution

The third proportional to 12,591 and 27,135 is: 58,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591 : 27,135 = 27,135 : x
  2. Step 2: Convert to fraction form
    12,591/27,135 = 27,135/x
  3. Step 3: Cross multiply
    12,591x = 27,135 × 27,135
  4. Step 4: Simplify right side
    12,591x = 736,308,225
  5. Step 5: Solve for x
    x = 736,308,225/12,591
  6. Step 6: Final answer
    x = 58,478.93

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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.