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Finding the Third Proportional to 33,481 and 72,088

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Solution

The third proportional to 33,481 and 72,088 is: 155,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,481 : 72,088 = 72,088 : x
  2. Step 2: Convert to fraction form
    33,481/72,088 = 72,088/x
  3. Step 3: Cross multiply
    33,481x = 72,088 × 72,088
  4. Step 4: Simplify right side
    33,481x = 5,196,679,744
  5. Step 5: Solve for x
    x = 5,196,679,744/33,481
  6. Step 6: Final answer
    x = 155,212.80

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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.