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Finding the Third Proportional to 290.99 and 451.25

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Solution

The third proportional to 290.99 and 451.25 is: 699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.99 : 451.25 = 451.25 : x
  2. Step 2: Convert to fraction form
    290.99/451.25 = 451.25/x
  3. Step 3: Cross multiply
    290.99x = 451.25 × 451.25
  4. Step 4: Simplify right side
    290.99x = 203,624.80
  5. Step 5: Solve for x
    x = 203,624.80/290.99
  6. Step 6: Final answer
    x = 699.77

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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.