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Finding the Third Proportional to 122.48 and 187.63

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Solution

The third proportional to 122.48 and 187.63 is: 287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.48 : 187.63 = 187.63 : x
  2. Step 2: Convert to fraction form
    122.48/187.63 = 187.63/x
  3. Step 3: Cross multiply
    122.48x = 187.63 × 187.63
  4. Step 4: Simplify right side
    122.48x = 35,204.61
  5. Step 5: Solve for x
    x = 35,204.61/122.48
  6. Step 6: Final answer
    x = 287.42

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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.