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Finding the Third Proportional to 6,857 and 14,780

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Solution

The third proportional to 6,857 and 14,780 is: 31,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857 : 14,780 = 14,780 : x
  2. Step 2: Convert to fraction form
    6,857/14,780 = 14,780/x
  3. Step 3: Cross multiply
    6,857x = 14,780 × 14,780
  4. Step 4: Simplify right side
    6,857x = 218,448,400
  5. Step 5: Solve for x
    x = 218,448,400/6,857
  6. Step 6: Final answer
    x = 31,857.72

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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.