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Finding the Third Proportional to 251.20 and 384.03

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Solution

The third proportional to 251.20 and 384.03 is: 587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.20 : 384.03 = 384.03 : x
  2. Step 2: Convert to fraction form
    251.20/384.03 = 384.03/x
  3. Step 3: Cross multiply
    251.20x = 384.03 × 384.03
  4. Step 4: Simplify right side
    251.20x = 147,480.00
  5. Step 5: Solve for x
    x = 147,480.00/251.20
  6. Step 6: Final answer
    x = 587.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.