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Finding the Third Proportional to 299.53 and 404.68

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Solution

The third proportional to 299.53 and 404.68 is: 546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.53 : 404.68 = 404.68 : x
  2. Step 2: Convert to fraction form
    299.53/404.68 = 404.68/x
  3. Step 3: Cross multiply
    299.53x = 404.68 × 404.68
  4. Step 4: Simplify right side
    299.53x = 163,768.81
  5. Step 5: Solve for x
    x = 163,768.81/299.53
  6. Step 6: Final answer
    x = 546.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.