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Finding the Third Proportional to 20,307 and 31,863

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Solution

The third proportional to 20,307 and 31,863 is: 49,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307 : 31,863 = 31,863 : x
  2. Step 2: Convert to fraction form
    20,307/31,863 = 31,863/x
  3. Step 3: Cross multiply
    20,307x = 31,863 × 31,863
  4. Step 4: Simplify right side
    20,307x = 1,015,250,769
  5. Step 5: Solve for x
    x = 1,015,250,769/20,307
  6. Step 6: Final answer
    x = 49,995.11

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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.