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Finding the Third Proportional to 20,900 and 31,573

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Solution

The third proportional to 20,900 and 31,573 is: 47,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900 : 31,573 = 31,573 : x
  2. Step 2: Convert to fraction form
    20,900/31,573 = 31,573/x
  3. Step 3: Cross multiply
    20,900x = 31,573 × 31,573
  4. Step 4: Simplify right side
    20,900x = 996,854,329
  5. Step 5: Solve for x
    x = 996,854,329/20,900
  6. Step 6: Final answer
    x = 47,696.38

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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.