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Finding the Third Proportional to 33,199.50 and 71,583

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Solution

The third proportional to 33,199.50 and 71,583 is: 154,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199.50 : 71,583 = 71,583 : x
  2. Step 2: Convert to fraction form
    33,199.50/71,583 = 71,583/x
  3. Step 3: Cross multiply
    33,199.50x = 71,583 × 71,583
  4. Step 4: Simplify right side
    33,199.50x = 5,124,125,889
  5. Step 5: Solve for x
    x = 5,124,125,889/33,199.50
  6. Step 6: Final answer
    x = 154,343.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.