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Finding the Third Proportional to 20,791 and 45,137

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Solution

The third proportional to 20,791 and 45,137 is: 97,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791 : 45,137 = 45,137 : x
  2. Step 2: Convert to fraction form
    20,791/45,137 = 45,137/x
  3. Step 3: Cross multiply
    20,791x = 45,137 × 45,137
  4. Step 4: Simplify right side
    20,791x = 2,037,348,769
  5. Step 5: Solve for x
    x = 2,037,348,769/20,791
  6. Step 6: Final answer
    x = 97,991.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.