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Finding the Third Proportional to 8,349 and 12,915

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Solution

The third proportional to 8,349 and 12,915 is: 19,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349 : 12,915 = 12,915 : x
  2. Step 2: Convert to fraction form
    8,349/12,915 = 12,915/x
  3. Step 3: Cross multiply
    8,349x = 12,915 × 12,915
  4. Step 4: Simplify right side
    8,349x = 166,797,225
  5. Step 5: Solve for x
    x = 166,797,225/8,349
  6. Step 6: Final answer
    x = 19,978.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.