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Finding the Third Proportional to 20,020.75 and 31,406

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Solution

The third proportional to 20,020.75 and 31,406 is: 49,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,020.75 : 31,406 = 31,406 : x
  2. Step 2: Convert to fraction form
    20,020.75/31,406 = 31,406/x
  3. Step 3: Cross multiply
    20,020.75x = 31,406 × 31,406
  4. Step 4: Simplify right side
    20,020.75x = 986,336,836
  5. Step 5: Solve for x
    x = 986,336,836/20,020.75
  6. Step 6: Final answer
    x = 49,265.73

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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.