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Finding the Third Proportional to 299.14 and 440.05

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Solution

The third proportional to 299.14 and 440.05 is: 647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.14 : 440.05 = 440.05 : x
  2. Step 2: Convert to fraction form
    299.14/440.05 = 440.05/x
  3. Step 3: Cross multiply
    299.14x = 440.05 × 440.05
  4. Step 4: Simplify right side
    299.14x = 193,644.69
  5. Step 5: Solve for x
    x = 193,644.69/299.14
  6. Step 6: Final answer
    x = 647.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.