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Finding the Third Proportional to 380.06 and 773.63

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Solution

The third proportional to 380.06 and 773.63 is: 1,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 773.63 = 773.63 : x
  2. Step 2: Convert to fraction form
    380.06/773.63 = 773.63/x
  3. Step 3: Cross multiply
    380.06x = 773.63 × 773.63
  4. Step 4: Simplify right side
    380.06x = 598,495.64
  5. Step 5: Solve for x
    x = 598,495.64/380.06
  6. Step 6: Final answer
    x = 1,574.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.