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Finding the Third Proportional to 20,315 and 41,187

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Solution

The third proportional to 20,315 and 41,187 is: 83,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315 : 41,187 = 41,187 : x
  2. Step 2: Convert to fraction form
    20,315/41,187 = 41,187/x
  3. Step 3: Cross multiply
    20,315x = 41,187 × 41,187
  4. Step 4: Simplify right side
    20,315x = 1,696,368,969
  5. Step 5: Solve for x
    x = 1,696,368,969/20,315
  6. Step 6: Final answer
    x = 83,503.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.