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Finding the Third Proportional to 71,589 and 154,977

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Solution

The third proportional to 71,589 and 154,977 is: 335,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,589 : 154,977 = 154,977 : x
  2. Step 2: Convert to fraction form
    71,589/154,977 = 154,977/x
  3. Step 3: Cross multiply
    71,589x = 154,977 × 154,977
  4. Step 4: Simplify right side
    71,589x = 24,017,870,529
  5. Step 5: Solve for x
    x = 24,017,870,529/71,589
  6. Step 6: Final answer
    x = 335,496.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.