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Finding the Third Proportional to 21,999 and 35,419

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Solution

The third proportional to 21,999 and 35,419 is: 57,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,999 : 35,419 = 35,419 : x
  2. Step 2: Convert to fraction form
    21,999/35,419 = 35,419/x
  3. Step 3: Cross multiply
    21,999x = 35,419 × 35,419
  4. Step 4: Simplify right side
    21,999x = 1,254,505,561
  5. Step 5: Solve for x
    x = 1,254,505,561/21,999
  6. Step 6: Final answer
    x = 57,025.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.