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Finding the Third Proportional to 13,786 and 29,515

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Solution

The third proportional to 13,786 and 29,515 is: 63,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786 : 29,515 = 29,515 : x
  2. Step 2: Convert to fraction form
    13,786/29,515 = 29,515/x
  3. Step 3: Cross multiply
    13,786x = 29,515 × 29,515
  4. Step 4: Simplify right side
    13,786x = 871,135,225
  5. Step 5: Solve for x
    x = 871,135,225/13,786
  6. Step 6: Final answer
    x = 63,189.85

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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.