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Finding the Third Proportional to 281.37 and 449.48

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Solution

The third proportional to 281.37 and 449.48 is: 718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.37 : 449.48 = 449.48 : x
  2. Step 2: Convert to fraction form
    281.37/449.48 = 449.48/x
  3. Step 3: Cross multiply
    281.37x = 449.48 × 449.48
  4. Step 4: Simplify right side
    281.37x = 202,036.20
  5. Step 5: Solve for x
    x = 202,036.20/281.37
  6. Step 6: Final answer
    x = 718.05

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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.