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Finding the Third Proportional to 20,512 and 31,690

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Solution

The third proportional to 20,512 and 31,690 is: 48,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512 : 31,690 = 31,690 : x
  2. Step 2: Convert to fraction form
    20,512/31,690 = 31,690/x
  3. Step 3: Cross multiply
    20,512x = 31,690 × 31,690
  4. Step 4: Simplify right side
    20,512x = 1,004,256,100
  5. Step 5: Solve for x
    x = 1,004,256,100/20,512
  6. Step 6: Final answer
    x = 48,959.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.