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Finding the Third Proportional to 216.53 and 413.11

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Solution

The third proportional to 216.53 and 413.11 is: 788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.53 : 413.11 = 413.11 : x
  2. Step 2: Convert to fraction form
    216.53/413.11 = 413.11/x
  3. Step 3: Cross multiply
    216.53x = 413.11 × 413.11
  4. Step 4: Simplify right side
    216.53x = 170,659.36
  5. Step 5: Solve for x
    x = 170,659.36/216.53
  6. Step 6: Final answer
    x = 788.15

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.