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Finding the Third Proportional to 36,911 and 81,436

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Solution

The third proportional to 36,911 and 81,436 is: 179,670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,911 : 81,436 = 81,436 : x
  2. Step 2: Convert to fraction form
    36,911/81,436 = 81,436/x
  3. Step 3: Cross multiply
    36,911x = 81,436 × 81,436
  4. Step 4: Simplify right side
    36,911x = 6,631,822,096
  5. Step 5: Solve for x
    x = 6,631,822,096/36,911
  6. Step 6: Final answer
    x = 179,670.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.