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Finding the Third Proportional to 33,224 and 51,497

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Solution

The third proportional to 33,224 and 51,497 is: 79,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224 : 51,497 = 51,497 : x
  2. Step 2: Convert to fraction form
    33,224/51,497 = 51,497/x
  3. Step 3: Cross multiply
    33,224x = 51,497 × 51,497
  4. Step 4: Simplify right side
    33,224x = 2,651,941,009
  5. Step 5: Solve for x
    x = 2,651,941,009/33,224
  6. Step 6: Final answer
    x = 79,820.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.