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Finding the Third Proportional to 51,220 and 111,187

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Solution

The third proportional to 51,220 and 111,187 is: 241,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,220 : 111,187 = 111,187 : x
  2. Step 2: Convert to fraction form
    51,220/111,187 = 111,187/x
  3. Step 3: Cross multiply
    51,220x = 111,187 × 111,187
  4. Step 4: Simplify right side
    51,220x = 12,362,548,969
  5. Step 5: Solve for x
    x = 12,362,548,969/51,220
  6. Step 6: Final answer
    x = 241,361.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.