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Finding the Third Proportional to 178.17 and 413.93

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Solution

The third proportional to 178.17 and 413.93 is: 961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.17 : 413.93 = 413.93 : x
  2. Step 2: Convert to fraction form
    178.17/413.93 = 413.93/x
  3. Step 3: Cross multiply
    178.17x = 413.93 × 413.93
  4. Step 4: Simplify right side
    178.17x = 171,337.79
  5. Step 5: Solve for x
    x = 171,337.79/178.17
  6. Step 6: Final answer
    x = 961.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.