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Finding the Third Proportional to 8,178 and 13,167

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Solution

The third proportional to 8,178 and 13,167 is: 21,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178 : 13,167 = 13,167 : x
  2. Step 2: Convert to fraction form
    8,178/13,167 = 13,167/x
  3. Step 3: Cross multiply
    8,178x = 13,167 × 13,167
  4. Step 4: Simplify right side
    8,178x = 173,369,889
  5. Step 5: Solve for x
    x = 173,369,889/8,178
  6. Step 6: Final answer
    x = 21,199.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.