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Finding the Third Proportional to 258.38 and 347.06

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Solution

The third proportional to 258.38 and 347.06 is: 466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.38 : 347.06 = 347.06 : x
  2. Step 2: Convert to fraction form
    258.38/347.06 = 347.06/x
  3. Step 3: Cross multiply
    258.38x = 347.06 × 347.06
  4. Step 4: Simplify right side
    258.38x = 120,452.38
  5. Step 5: Solve for x
    x = 120,452.38/258.38
  6. Step 6: Final answer
    x = 466.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.