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Finding the Third Proportional to 76,198.50 and 118,659.75

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Solution

The third proportional to 76,198.50 and 118,659.75 is: 184,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,198.50 : 118,659.75 = 118,659.75 : x
  2. Step 2: Convert to fraction form
    76,198.50/118,659.75 = 118,659.75/x
  3. Step 3: Cross multiply
    76,198.50x = 118,659.75 × 118,659.75
  4. Step 4: Simplify right side
    76,198.50x = 14,080,136,270.06
  5. Step 5: Solve for x
    x = 14,080,136,270.06/76,198.50
  6. Step 6: Final answer
    x = 184,782.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.