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Finding the Third Proportional to 12,865 and 27,309

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Solution

The third proportional to 12,865 and 27,309 is: 57,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865 : 27,309 = 27,309 : x
  2. Step 2: Convert to fraction form
    12,865/27,309 = 27,309/x
  3. Step 3: Cross multiply
    12,865x = 27,309 × 27,309
  4. Step 4: Simplify right side
    12,865x = 745,781,481
  5. Step 5: Solve for x
    x = 745,781,481/12,865
  6. Step 6: Final answer
    x = 57,969.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.