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Finding the Third Proportional to 480.75 and 803.44

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Solution

The third proportional to 480.75 and 803.44 is: 1,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.75 : 803.44 = 803.44 : x
  2. Step 2: Convert to fraction form
    480.75/803.44 = 803.44/x
  3. Step 3: Cross multiply
    480.75x = 803.44 × 803.44
  4. Step 4: Simplify right side
    480.75x = 645,511.82
  5. Step 5: Solve for x
    x = 645,511.82/480.75
  6. Step 6: Final answer
    x = 1,342.72

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.