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Finding the Third Proportional to 305.44 and 679.03

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Solution

The third proportional to 305.44 and 679.03 is: 1,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 679.03 = 679.03 : x
  2. Step 2: Convert to fraction form
    305.44/679.03 = 679.03/x
  3. Step 3: Cross multiply
    305.44x = 679.03 × 679.03
  4. Step 4: Simplify right side
    305.44x = 461,083.44
  5. Step 5: Solve for x
    x = 461,083.44/305.44
  6. Step 6: Final answer
    x = 1,509.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.