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Finding the Third Proportional to 80,911.50 and 125,627

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Solution

The third proportional to 80,911.50 and 125,627 is: 195,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,911.50 : 125,627 = 125,627 : x
  2. Step 2: Convert to fraction form
    80,911.50/125,627 = 125,627/x
  3. Step 3: Cross multiply
    80,911.50x = 125,627 × 125,627
  4. Step 4: Simplify right side
    80,911.50x = 15,782,143,129
  5. Step 5: Solve for x
    x = 15,782,143,129/80,911.50
  6. Step 6: Final answer
    x = 195,054.39

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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.