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Finding the Third Proportional to 20,871 and 31,968

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Solution

The third proportional to 20,871 and 31,968 is: 48,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871 : 31,968 = 31,968 : x
  2. Step 2: Convert to fraction form
    20,871/31,968 = 31,968/x
  3. Step 3: Cross multiply
    20,871x = 31,968 × 31,968
  4. Step 4: Simplify right side
    20,871x = 1,021,953,024
  5. Step 5: Solve for x
    x = 1,021,953,024/20,871
  6. Step 6: Final answer
    x = 48,965.22

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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.