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Finding the Third Proportional to 76,619.75 and 118,939

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Solution

The third proportional to 76,619.75 and 118,939 is: 184,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,619.75 : 118,939 = 118,939 : x
  2. Step 2: Convert to fraction form
    76,619.75/118,939 = 118,939/x
  3. Step 3: Cross multiply
    76,619.75x = 118,939 × 118,939
  4. Step 4: Simplify right side
    76,619.75x = 14,146,485,721
  5. Step 5: Solve for x
    x = 14,146,485,721/76,619.75
  6. Step 6: Final answer
    x = 184,632.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.