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Finding the Third Proportional to 51,240 and 111,456

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Solution

The third proportional to 51,240 and 111,456 is: 242,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240 : 111,456 = 111,456 : x
  2. Step 2: Convert to fraction form
    51,240/111,456 = 111,456/x
  3. Step 3: Cross multiply
    51,240x = 111,456 × 111,456
  4. Step 4: Simplify right side
    51,240x = 12,422,439,936
  5. Step 5: Solve for x
    x = 12,422,439,936/51,240
  6. Step 6: Final answer
    x = 242,436.38

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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.