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Finding the Third Proportional to 54,112 and 118,734

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Solution

The third proportional to 54,112 and 118,734 is: 260,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,112 : 118,734 = 118,734 : x
  2. Step 2: Convert to fraction form
    54,112/118,734 = 118,734/x
  3. Step 3: Cross multiply
    54,112x = 118,734 × 118,734
  4. Step 4: Simplify right side
    54,112x = 14,097,762,756
  5. Step 5: Solve for x
    x = 14,097,762,756/54,112
  6. Step 6: Final answer
    x = 260,529.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.