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Finding the Third Proportional to 43,730.50 and 80,890

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Solution

The third proportional to 43,730.50 and 80,890 is: 149,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,730.50 : 80,890 = 80,890 : x
  2. Step 2: Convert to fraction form
    43,730.50/80,890 = 80,890/x
  3. Step 3: Cross multiply
    43,730.50x = 80,890 × 80,890
  4. Step 4: Simplify right side
    43,730.50x = 6,543,192,100
  5. Step 5: Solve for x
    x = 6,543,192,100/43,730.50
  6. Step 6: Final answer
    x = 149,625.37

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.