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Finding the Third Proportional to 21,419 and 32,961

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Solution

The third proportional to 21,419 and 32,961 is: 50,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419 : 32,961 = 32,961 : x
  2. Step 2: Convert to fraction form
    21,419/32,961 = 32,961/x
  3. Step 3: Cross multiply
    21,419x = 32,961 × 32,961
  4. Step 4: Simplify right side
    21,419x = 1,086,427,521
  5. Step 5: Solve for x
    x = 1,086,427,521/21,419
  6. Step 6: Final answer
    x = 50,722.61

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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.