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Finding the Third Proportional to 178.75 and 413.69

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Solution

The third proportional to 178.75 and 413.69 is: 957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.75 : 413.69 = 413.69 : x
  2. Step 2: Convert to fraction form
    178.75/413.69 = 413.69/x
  3. Step 3: Cross multiply
    178.75x = 413.69 × 413.69
  4. Step 4: Simplify right side
    178.75x = 171,137.35
  5. Step 5: Solve for x
    x = 171,137.35/178.75
  6. Step 6: Final answer
    x = 957.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.