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Finding the Third Proportional to 20,684 and 31,638

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Solution

The third proportional to 20,684 and 31,638 is: 48,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684 : 31,638 = 31,638 : x
  2. Step 2: Convert to fraction form
    20,684/31,638 = 31,638/x
  3. Step 3: Cross multiply
    20,684x = 31,638 × 31,638
  4. Step 4: Simplify right side
    20,684x = 1,000,963,044
  5. Step 5: Solve for x
    x = 1,000,963,044/20,684
  6. Step 6: Final answer
    x = 48,393.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.