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Finding the Third Proportional to 80,425 and 115,413.50

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Solution

The third proportional to 80,425 and 115,413.50 is: 165,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,425 : 115,413.50 = 115,413.50 : x
  2. Step 2: Convert to fraction form
    80,425/115,413.50 = 115,413.50/x
  3. Step 3: Cross multiply
    80,425x = 115,413.50 × 115,413.50
  4. Step 4: Simplify right side
    80,425x = 13,320,275,982.25
  5. Step 5: Solve for x
    x = 13,320,275,982.25/80,425
  6. Step 6: Final answer
    x = 165,623.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.