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Finding the Third Proportional to 290.20 and 449.67

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Solution

The third proportional to 290.20 and 449.67 is: 696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.20 : 449.67 = 449.67 : x
  2. Step 2: Convert to fraction form
    290.20/449.67 = 449.67/x
  3. Step 3: Cross multiply
    290.20x = 449.67 × 449.67
  4. Step 4: Simplify right side
    290.20x = 202,204.80
  5. Step 5: Solve for x
    x = 202,204.80/290.20
  6. Step 6: Final answer
    x = 696.77

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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.