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Finding the Third Proportional to 386.88 and 541.25

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Solution

The third proportional to 386.88 and 541.25 is: 757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.88 : 541.25 = 541.25 : x
  2. Step 2: Convert to fraction form
    386.88/541.25 = 541.25/x
  3. Step 3: Cross multiply
    386.88x = 541.25 × 541.25
  4. Step 4: Simplify right side
    386.88x = 292,951.56
  5. Step 5: Solve for x
    x = 292,951.56/386.88
  6. Step 6: Final answer
    x = 757.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.