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Finding the Third Proportional to 12,865 and 27,911

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Solution

The third proportional to 12,865 and 27,911 is: 60,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865 : 27,911 = 27,911 : x
  2. Step 2: Convert to fraction form
    12,865/27,911 = 27,911/x
  3. Step 3: Cross multiply
    12,865x = 27,911 × 27,911
  4. Step 4: Simplify right side
    12,865x = 779,023,921
  5. Step 5: Solve for x
    x = 779,023,921/12,865
  6. Step 6: Final answer
    x = 60,553.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.