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Finding the Third Proportional to 258.23 and 368.11

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Solution

The third proportional to 258.23 and 368.11 is: 524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.23 : 368.11 = 368.11 : x
  2. Step 2: Convert to fraction form
    258.23/368.11 = 368.11/x
  3. Step 3: Cross multiply
    258.23x = 368.11 × 368.11
  4. Step 4: Simplify right side
    258.23x = 135,504.51
  5. Step 5: Solve for x
    x = 135,504.51/258.23
  6. Step 6: Final answer
    x = 524.73

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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.