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Finding the Third Proportional to 20,455 and 41,405

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Solution

The third proportional to 20,455 and 41,405 is: 83,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,455 : 41,405 = 41,405 : x
  2. Step 2: Convert to fraction form
    20,455/41,405 = 41,405/x
  3. Step 3: Cross multiply
    20,455x = 41,405 × 41,405
  4. Step 4: Simplify right side
    20,455x = 1,714,374,025
  5. Step 5: Solve for x
    x = 1,714,374,025/20,455
  6. Step 6: Final answer
    x = 83,811.98

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.