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Finding the Third Proportional to 229.24 and 384.20

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Solution

The third proportional to 229.24 and 384.20 is: 643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.24 : 384.20 = 384.20 : x
  2. Step 2: Convert to fraction form
    229.24/384.20 = 384.20/x
  3. Step 3: Cross multiply
    229.24x = 384.20 × 384.20
  4. Step 4: Simplify right side
    229.24x = 147,606.79
  5. Step 5: Solve for x
    x = 147,606.79/229.24
  6. Step 6: Final answer
    x = 643.91

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.