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Finding the Third Proportional to 258.54 and 553.15

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Solution

The third proportional to 258.54 and 553.15 is: 1,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.54 : 553.15 = 553.15 : x
  2. Step 2: Convert to fraction form
    258.54/553.15 = 553.15/x
  3. Step 3: Cross multiply
    258.54x = 553.15 × 553.15
  4. Step 4: Simplify right side
    258.54x = 305,973.19
  5. Step 5: Solve for x
    x = 305,973.19/258.54
  6. Step 6: Final answer
    x = 1,183.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.