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Finding the Third Proportional to 380.11 and 555.54

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Solution

The third proportional to 380.11 and 555.54 is: 811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.11 : 555.54 = 555.54 : x
  2. Step 2: Convert to fraction form
    380.11/555.54 = 555.54/x
  3. Step 3: Cross multiply
    380.11x = 555.54 × 555.54
  4. Step 4: Simplify right side
    380.11x = 308,623.65
  5. Step 5: Solve for x
    x = 308,623.65/380.11
  6. Step 6: Final answer
    x = 811.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.