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Finding the Third Proportional to 6,515 and 13,847

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Solution

The third proportional to 6,515 and 13,847 is: 29,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515 : 13,847 = 13,847 : x
  2. Step 2: Convert to fraction form
    6,515/13,847 = 13,847/x
  3. Step 3: Cross multiply
    6,515x = 13,847 × 13,847
  4. Step 4: Simplify right side
    6,515x = 191,739,409
  5. Step 5: Solve for x
    x = 191,739,409/6,515
  6. Step 6: Final answer
    x = 29,430.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.