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Finding the Third Proportional to 122.63 and 187.31

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Solution

The third proportional to 122.63 and 187.31 is: 286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 187.31 = 187.31 : x
  2. Step 2: Convert to fraction form
    122.63/187.31 = 187.31/x
  3. Step 3: Cross multiply
    122.63x = 187.31 × 187.31
  4. Step 4: Simplify right side
    122.63x = 35,085.97
  5. Step 5: Solve for x
    x = 35,085.97/122.63
  6. Step 6: Final answer
    x = 286.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.