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Finding the Third Proportional to 413.54 and 587.88

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Solution

The third proportional to 413.54 and 587.88 is: 835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.54 : 587.88 = 587.88 : x
  2. Step 2: Convert to fraction form
    413.54/587.88 = 587.88/x
  3. Step 3: Cross multiply
    413.54x = 587.88 × 587.88
  4. Step 4: Simplify right side
    413.54x = 345,606.20
  5. Step 5: Solve for x
    x = 345,606.20/413.54
  6. Step 6: Final answer
    x = 835.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.