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Finding the Third Proportional to 37,005 and 81,391

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Solution

The third proportional to 37,005 and 81,391 is: 179,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,005 : 81,391 = 81,391 : x
  2. Step 2: Convert to fraction form
    37,005/81,391 = 81,391/x
  3. Step 3: Cross multiply
    37,005x = 81,391 × 81,391
  4. Step 4: Simplify right side
    37,005x = 6,624,494,881
  5. Step 5: Solve for x
    x = 6,624,494,881/37,005
  6. Step 6: Final answer
    x = 179,016.21

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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.