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Finding the Third Proportional to 7,910 and 13,175

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Solution

The third proportional to 7,910 and 13,175 is: 21,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910 : 13,175 = 13,175 : x
  2. Step 2: Convert to fraction form
    7,910/13,175 = 13,175/x
  3. Step 3: Cross multiply
    7,910x = 13,175 × 13,175
  4. Step 4: Simplify right side
    7,910x = 173,580,625
  5. Step 5: Solve for x
    x = 173,580,625/7,910
  6. Step 6: Final answer
    x = 21,944.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.