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Finding the Third Proportional to 44,072 and 96,892

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Solution

The third proportional to 44,072 and 96,892 is: 213,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,072 : 96,892 = 96,892 : x
  2. Step 2: Convert to fraction form
    44,072/96,892 = 96,892/x
  3. Step 3: Cross multiply
    44,072x = 96,892 × 96,892
  4. Step 4: Simplify right side
    44,072x = 9,388,059,664
  5. Step 5: Solve for x
    x = 9,388,059,664/44,072
  6. Step 6: Final answer
    x = 213,016.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.