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Finding the Third Proportional to 71,616.50 and 155,977

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Solution

The third proportional to 71,616.50 and 155,977 is: 339,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,616.50 : 155,977 = 155,977 : x
  2. Step 2: Convert to fraction form
    71,616.50/155,977 = 155,977/x
  3. Step 3: Cross multiply
    71,616.50x = 155,977 × 155,977
  4. Step 4: Simplify right side
    71,616.50x = 24,328,824,529
  5. Step 5: Solve for x
    x = 24,328,824,529/71,616.50
  6. Step 6: Final answer
    x = 339,709.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.