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Finding the Third Proportional to 36,976 and 81,136

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Solution

The third proportional to 36,976 and 81,136 is: 178,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,976 : 81,136 = 81,136 : x
  2. Step 2: Convert to fraction form
    36,976/81,136 = 81,136/x
  3. Step 3: Cross multiply
    36,976x = 81,136 × 81,136
  4. Step 4: Simplify right side
    36,976x = 6,583,050,496
  5. Step 5: Solve for x
    x = 6,583,050,496/36,976
  6. Step 6: Final answer
    x = 178,035.77

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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.