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Finding the Third Proportional to 54,688 and 120,144

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Solution

The third proportional to 54,688 and 120,144 is: 263,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,688 : 120,144 = 120,144 : x
  2. Step 2: Convert to fraction form
    54,688/120,144 = 120,144/x
  3. Step 3: Cross multiply
    54,688x = 120,144 × 120,144
  4. Step 4: Simplify right side
    54,688x = 14,434,580,736
  5. Step 5: Solve for x
    x = 14,434,580,736/54,688
  6. Step 6: Final answer
    x = 263,944.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.