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Finding the Third Proportional to 258.13 and 367.98

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Solution

The third proportional to 258.13 and 367.98 is: 524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.13 : 367.98 = 367.98 : x
  2. Step 2: Convert to fraction form
    258.13/367.98 = 367.98/x
  3. Step 3: Cross multiply
    258.13x = 367.98 × 367.98
  4. Step 4: Simplify right side
    258.13x = 135,409.63
  5. Step 5: Solve for x
    x = 135,409.63/258.13
  6. Step 6: Final answer
    x = 524.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.