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Finding the Third Proportional to 10,257.75 and 13,857.75

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Solution

The third proportional to 10,257.75 and 13,857.75 is: 18,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.75 : 13,857.75 = 13,857.75 : x
  2. Step 2: Convert to fraction form
    10,257.75/13,857.75 = 13,857.75/x
  3. Step 3: Cross multiply
    10,257.75x = 13,857.75 × 13,857.75
  4. Step 4: Simplify right side
    10,257.75x = 192,037,235.06
  5. Step 5: Solve for x
    x = 192,037,235.06/10,257.75
  6. Step 6: Final answer
    x = 18,721.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.