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Finding the Third Proportional to 54,050 and 118,756

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Solution

The third proportional to 54,050 and 118,756 is: 260,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,050 : 118,756 = 118,756 : x
  2. Step 2: Convert to fraction form
    54,050/118,756 = 118,756/x
  3. Step 3: Cross multiply
    54,050x = 118,756 × 118,756
  4. Step 4: Simplify right side
    54,050x = 14,102,987,536
  5. Step 5: Solve for x
    x = 14,102,987,536/54,050
  6. Step 6: Final answer
    x = 260,924.84

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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.