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Finding the Third Proportional to 258.47 and 382.64

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Solution

The third proportional to 258.47 and 382.64 is: 566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.47 : 382.64 = 382.64 : x
  2. Step 2: Convert to fraction form
    258.47/382.64 = 382.64/x
  3. Step 3: Cross multiply
    258.47x = 382.64 × 382.64
  4. Step 4: Simplify right side
    258.47x = 146,413.85
  5. Step 5: Solve for x
    x = 146,413.85/258.47
  6. Step 6: Final answer
    x = 566.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.