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Finding the Third Proportional to 20,474 and 31,017

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Solution

The third proportional to 20,474 and 31,017 is: 46,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474 : 31,017 = 31,017 : x
  2. Step 2: Convert to fraction form
    20,474/31,017 = 31,017/x
  3. Step 3: Cross multiply
    20,474x = 31,017 × 31,017
  4. Step 4: Simplify right side
    20,474x = 962,054,289
  5. Step 5: Solve for x
    x = 962,054,289/20,474
  6. Step 6: Final answer
    x = 46,989.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.