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Finding the Third Proportional to 20,218.36 and 41,427.70

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Solution

The third proportional to 20,218.36 and 41,427.70 is: 84,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.36 : 41,427.70 = 41,427.70 : x
  2. Step 2: Convert to fraction form
    20,218.36/41,427.70 = 41,427.70/x
  3. Step 3: Cross multiply
    20,218.36x = 41,427.70 × 41,427.70
  4. Step 4: Simplify right side
    20,218.36x = 1,716,254,586.21
  5. Step 5: Solve for x
    x = 1,716,254,586.21/20,218.36
  6. Step 6: Final answer
    x = 84,885.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.