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Finding the Third Proportional to 248.91 and 398.36

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Solution

The third proportional to 248.91 and 398.36 is: 637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.91 : 398.36 = 398.36 : x
  2. Step 2: Convert to fraction form
    248.91/398.36 = 398.36/x
  3. Step 3: Cross multiply
    248.91x = 398.36 × 398.36
  4. Step 4: Simplify right side
    248.91x = 158,687.08
  5. Step 5: Solve for x
    x = 158,687.08/248.91
  6. Step 6: Final answer
    x = 637.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.