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Finding the Third Proportional to 33,543 and 73,566

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Solution

The third proportional to 33,543 and 73,566 is: 161,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,543 : 73,566 = 73,566 : x
  2. Step 2: Convert to fraction form
    33,543/73,566 = 73,566/x
  3. Step 3: Cross multiply
    33,543x = 73,566 × 73,566
  4. Step 4: Simplify right side
    33,543x = 5,411,956,356
  5. Step 5: Solve for x
    x = 5,411,956,356/33,543
  6. Step 6: Final answer
    x = 161,343.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.