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Finding the Third Proportional to 55.37 and 121.27

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Solution

The third proportional to 55.37 and 121.27 is: 265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.37 : 121.27 = 121.27 : x
  2. Step 2: Convert to fraction form
    55.37/121.27 = 121.27/x
  3. Step 3: Cross multiply
    55.37x = 121.27 × 121.27
  4. Step 4: Simplify right side
    55.37x = 14,705.35
  5. Step 5: Solve for x
    x = 14,705.35/55.37
  6. Step 6: Final answer
    x = 265.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.