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Finding the Third Proportional to 20,961 and 31,713

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Solution

The third proportional to 20,961 and 31,713 is: 47,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,961 : 31,713 = 31,713 : x
  2. Step 2: Convert to fraction form
    20,961/31,713 = 31,713/x
  3. Step 3: Cross multiply
    20,961x = 31,713 × 31,713
  4. Step 4: Simplify right side
    20,961x = 1,005,714,369
  5. Step 5: Solve for x
    x = 1,005,714,369/20,961
  6. Step 6: Final answer
    x = 47,980.27

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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.