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Finding the Third Proportional to 111,616 and 263,431

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Solution

The third proportional to 111,616 and 263,431 is: 621,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,616 : 263,431 = 263,431 : x
  2. Step 2: Convert to fraction form
    111,616/263,431 = 263,431/x
  3. Step 3: Cross multiply
    111,616x = 263,431 × 263,431
  4. Step 4: Simplify right side
    111,616x = 69,395,891,761
  5. Step 5: Solve for x
    x = 69,395,891,761/111,616
  6. Step 6: Final answer
    x = 621,737.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.