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Finding the Third Proportional to 20,019 and 31,421

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Solution

The third proportional to 20,019 and 31,421 is: 49,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,019 : 31,421 = 31,421 : x
  2. Step 2: Convert to fraction form
    20,019/31,421 = 31,421/x
  3. Step 3: Cross multiply
    20,019x = 31,421 × 31,421
  4. Step 4: Simplify right side
    20,019x = 987,279,241
  5. Step 5: Solve for x
    x = 987,279,241/20,019
  6. Step 6: Final answer
    x = 49,317.11

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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.