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Finding the Third Proportional to 283.50 and 447.25

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Solution

The third proportional to 283.50 and 447.25 is: 705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.50 : 447.25 = 447.25 : x
  2. Step 2: Convert to fraction form
    283.50/447.25 = 447.25/x
  3. Step 3: Cross multiply
    283.50x = 447.25 × 447.25
  4. Step 4: Simplify right side
    283.50x = 200,032.56
  5. Step 5: Solve for x
    x = 200,032.56/283.50
  6. Step 6: Final answer
    x = 705.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.