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Finding the Third Proportional to 13,857 and 28,531

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Solution

The third proportional to 13,857 and 28,531 is: 58,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857 : 28,531 = 28,531 : x
  2. Step 2: Convert to fraction form
    13,857/28,531 = 28,531/x
  3. Step 3: Cross multiply
    13,857x = 28,531 × 28,531
  4. Step 4: Simplify right side
    13,857x = 814,017,961
  5. Step 5: Solve for x
    x = 814,017,961/13,857
  6. Step 6: Final answer
    x = 58,744.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.