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Finding the Third Proportional to 13,857 and 29,699

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Solution

The third proportional to 13,857 and 29,699 is: 63,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857 : 29,699 = 29,699 : x
  2. Step 2: Convert to fraction form
    13,857/29,699 = 29,699/x
  3. Step 3: Cross multiply
    13,857x = 29,699 × 29,699
  4. Step 4: Simplify right side
    13,857x = 882,030,601
  5. Step 5: Solve for x
    x = 882,030,601/13,857
  6. Step 6: Final answer
    x = 63,652.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.