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Finding the Third Proportional to 122.63 and 286.31

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Solution

The third proportional to 122.63 and 286.31 is: 668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 286.31 = 286.31 : x
  2. Step 2: Convert to fraction form
    122.63/286.31 = 286.31/x
  3. Step 3: Cross multiply
    122.63x = 286.31 × 286.31
  4. Step 4: Simplify right side
    122.63x = 81,974.85
  5. Step 5: Solve for x
    x = 81,974.85/122.63
  6. Step 6: Final answer
    x = 668.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.