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Finding the Third Proportional to 55.48 and 121.99

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Solution

The third proportional to 55.48 and 121.99 is: 268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.48 : 121.99 = 121.99 : x
  2. Step 2: Convert to fraction form
    55.48/121.99 = 121.99/x
  3. Step 3: Cross multiply
    55.48x = 121.99 × 121.99
  4. Step 4: Simplify right side
    55.48x = 14,882.09
  5. Step 5: Solve for x
    x = 14,882.09/55.48
  6. Step 6: Final answer
    x = 268.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.