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Finding the Third Proportional to 80,667 and 118,143

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Solution

The third proportional to 80,667 and 118,143 is: 173,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,667 : 118,143 = 118,143 : x
  2. Step 2: Convert to fraction form
    80,667/118,143 = 118,143/x
  3. Step 3: Cross multiply
    80,667x = 118,143 × 118,143
  4. Step 4: Simplify right side
    80,667x = 13,957,768,449
  5. Step 5: Solve for x
    x = 13,957,768,449/80,667
  6. Step 6: Final answer
    x = 173,029.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.