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Finding the Third Proportional to 258.19 and 354.38

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Solution

The third proportional to 258.19 and 354.38 is: 486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 354.38 = 354.38 : x
  2. Step 2: Convert to fraction form
    258.19/354.38 = 354.38/x
  3. Step 3: Cross multiply
    258.19x = 354.38 × 354.38
  4. Step 4: Simplify right side
    258.19x = 125,581.64
  5. Step 5: Solve for x
    x = 125,581.64/258.19
  6. Step 6: Final answer
    x = 486.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.