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Finding the Third Proportional to 258.31 and 603.19

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Solution

The third proportional to 258.31 and 603.19 is: 1,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.31 : 603.19 = 603.19 : x
  2. Step 2: Convert to fraction form
    258.31/603.19 = 603.19/x
  3. Step 3: Cross multiply
    258.31x = 603.19 × 603.19
  4. Step 4: Simplify right side
    258.31x = 363,835.16
  5. Step 5: Solve for x
    x = 363,835.16/258.31
  6. Step 6: Final answer
    x = 1,408.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.