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Finding the Third Proportional to 55.91 and 121.03

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Solution

The third proportional to 55.91 and 121.03 is: 262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.91 : 121.03 = 121.03 : x
  2. Step 2: Convert to fraction form
    55.91/121.03 = 121.03/x
  3. Step 3: Cross multiply
    55.91x = 121.03 × 121.03
  4. Step 4: Simplify right side
    55.91x = 14,648.56
  5. Step 5: Solve for x
    x = 14,648.56/55.91
  6. Step 6: Final answer
    x = 262.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.