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Finding the Third Proportional to 33,456 and 73,565.75

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Solution

The third proportional to 33,456 and 73,565.75 is: 161,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456 : 73,565.75 = 73,565.75 : x
  2. Step 2: Convert to fraction form
    33,456/73,565.75 = 73,565.75/x
  3. Step 3: Cross multiply
    33,456x = 73,565.75 × 73,565.75
  4. Step 4: Simplify right side
    33,456x = 5,411,919,573.06
  5. Step 5: Solve for x
    x = 5,411,919,573.06/33,456
  6. Step 6: Final answer
    x = 161,762.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.