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Finding the Third Proportional to 305.44 and 671.20

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Solution

The third proportional to 305.44 and 671.20 is: 1,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 671.20 = 671.20 : x
  2. Step 2: Convert to fraction form
    305.44/671.20 = 671.20/x
  3. Step 3: Cross multiply
    305.44x = 671.20 × 671.20
  4. Step 4: Simplify right side
    305.44x = 450,513.64
  5. Step 5: Solve for x
    x = 450,513.64/305.44
  6. Step 6: Final answer
    x = 1,474.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.