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Finding the Third Proportional to 21,178 and 45,167

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Solution

The third proportional to 21,178 and 45,167 is: 96,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178 : 45,167 = 45,167 : x
  2. Step 2: Convert to fraction form
    21,178/45,167 = 45,167/x
  3. Step 3: Cross multiply
    21,178x = 45,167 × 45,167
  4. Step 4: Simplify right side
    21,178x = 2,040,057,889
  5. Step 5: Solve for x
    x = 2,040,057,889/21,178
  6. Step 6: Final answer
    x = 96,329.11

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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.