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Finding the Third Proportional to 290.34 and 449.81

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Solution

The third proportional to 290.34 and 449.81 is: 696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.34 : 449.81 = 449.81 : x
  2. Step 2: Convert to fraction form
    290.34/449.81 = 449.81/x
  3. Step 3: Cross multiply
    290.34x = 449.81 × 449.81
  4. Step 4: Simplify right side
    290.34x = 202,331.29
  5. Step 5: Solve for x
    x = 202,331.29/290.34
  6. Step 6: Final answer
    x = 696.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.