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Finding the Third Proportional to 33,313 and 71,567

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Solution

The third proportional to 33,313 and 71,567 is: 153,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,313 : 71,567 = 71,567 : x
  2. Step 2: Convert to fraction form
    33,313/71,567 = 71,567/x
  3. Step 3: Cross multiply
    33,313x = 71,567 × 71,567
  4. Step 4: Simplify right side
    33,313x = 5,121,835,489
  5. Step 5: Solve for x
    x = 5,121,835,489/33,313
  6. Step 6: Final answer
    x = 153,748.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.