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Finding the Third Proportional to 33,203 and 71,590

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Solution

The third proportional to 33,203 and 71,590 is: 154,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,203 : 71,590 = 71,590 : x
  2. Step 2: Convert to fraction form
    33,203/71,590 = 71,590/x
  3. Step 3: Cross multiply
    33,203x = 71,590 × 71,590
  4. Step 4: Simplify right side
    33,203x = 5,125,128,100
  5. Step 5: Solve for x
    x = 5,125,128,100/33,203
  6. Step 6: Final answer
    x = 154,357.38

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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.