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Finding the Third Proportional to 20,013 and 31,385

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Solution

The third proportional to 20,013 and 31,385 is: 49,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013 : 31,385 = 31,385 : x
  2. Step 2: Convert to fraction form
    20,013/31,385 = 31,385/x
  3. Step 3: Cross multiply
    20,013x = 31,385 × 31,385
  4. Step 4: Simplify right side
    20,013x = 985,018,225
  5. Step 5: Solve for x
    x = 985,018,225/20,013
  6. Step 6: Final answer
    x = 49,218.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.