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Finding the Third Proportional to 172.94 and 283.56

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Solution

The third proportional to 172.94 and 283.56 is: 464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.94 : 283.56 = 283.56 : x
  2. Step 2: Convert to fraction form
    172.94/283.56 = 283.56/x
  3. Step 3: Cross multiply
    172.94x = 283.56 × 283.56
  4. Step 4: Simplify right side
    172.94x = 80,407.69
  5. Step 5: Solve for x
    x = 80,407.69/172.94
  6. Step 6: Final answer
    x = 464.95

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.