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Finding the Third Proportional to 122.45 and 283.34

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Solution

The third proportional to 122.45 and 283.34 is: 655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.45 : 283.34 = 283.34 : x
  2. Step 2: Convert to fraction form
    122.45/283.34 = 283.34/x
  3. Step 3: Cross multiply
    122.45x = 283.34 × 283.34
  4. Step 4: Simplify right side
    122.45x = 80,282.57
  5. Step 5: Solve for x
    x = 80,282.57/122.45
  6. Step 6: Final answer
    x = 655.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.