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Finding the Third Proportional to 33,866 and 73,300

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Solution

The third proportional to 33,866 and 73,300 is: 158,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,866 : 73,300 = 73,300 : x
  2. Step 2: Convert to fraction form
    33,866/73,300 = 73,300/x
  3. Step 3: Cross multiply
    33,866x = 73,300 × 73,300
  4. Step 4: Simplify right side
    33,866x = 5,372,890,000
  5. Step 5: Solve for x
    x = 5,372,890,000/33,866
  6. Step 6: Final answer
    x = 158,651.45

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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.