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Finding the Third Proportional to 483.75 and 746.44

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Solution

The third proportional to 483.75 and 746.44 is: 1,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.75 : 746.44 = 746.44 : x
  2. Step 2: Convert to fraction form
    483.75/746.44 = 746.44/x
  3. Step 3: Cross multiply
    483.75x = 746.44 × 746.44
  4. Step 4: Simplify right side
    483.75x = 557,168.94
  5. Step 5: Solve for x
    x = 557,168.94/483.75
  6. Step 6: Final answer
    x = 1,151.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.