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Finding the Third Proportional to 21,599 and 33,355

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Solution

The third proportional to 21,599 and 33,355 is: 51,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599 : 33,355 = 33,355 : x
  2. Step 2: Convert to fraction form
    21,599/33,355 = 33,355/x
  3. Step 3: Cross multiply
    21,599x = 33,355 × 33,355
  4. Step 4: Simplify right side
    21,599x = 1,112,556,025
  5. Step 5: Solve for x
    x = 1,112,556,025/21,599
  6. Step 6: Final answer
    x = 51,509.61

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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.