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Finding the Third Proportional to 386.38 and 559.88

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Solution

The third proportional to 386.38 and 559.88 is: 811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.38 : 559.88 = 559.88 : x
  2. Step 2: Convert to fraction form
    386.38/559.88 = 559.88/x
  3. Step 3: Cross multiply
    386.38x = 559.88 × 559.88
  4. Step 4: Simplify right side
    386.38x = 313,460.02
  5. Step 5: Solve for x
    x = 313,460.02/386.38
  6. Step 6: Final answer
    x = 811.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.