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Finding the Third Proportional to 20,731 and 45,350

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Solution

The third proportional to 20,731 and 45,350 is: 99,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731 : 45,350 = 45,350 : x
  2. Step 2: Convert to fraction form
    20,731/45,350 = 45,350/x
  3. Step 3: Cross multiply
    20,731x = 45,350 × 45,350
  4. Step 4: Simplify right side
    20,731x = 2,056,622,500
  5. Step 5: Solve for x
    x = 2,056,622,500/20,731
  6. Step 6: Final answer
    x = 99,205.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.