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Finding the Third Proportional to 386.88 and 552.94

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Solution

The third proportional to 386.88 and 552.94 is: 790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.88 : 552.94 = 552.94 : x
  2. Step 2: Convert to fraction form
    386.88/552.94 = 552.94/x
  3. Step 3: Cross multiply
    386.88x = 552.94 × 552.94
  4. Step 4: Simplify right side
    386.88x = 305,739.88
  5. Step 5: Solve for x
    x = 305,739.88/386.88
  6. Step 6: Final answer
    x = 790.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.