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Finding the Third Proportional to 55.69 and 120.84

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Solution

The third proportional to 55.69 and 120.84 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.69 : 120.84 = 120.84 : x
  2. Step 2: Convert to fraction form
    55.69/120.84 = 120.84/x
  3. Step 3: Cross multiply
    55.69x = 120.84 × 120.84
  4. Step 4: Simplify right side
    55.69x = 14,603.21
  5. Step 5: Solve for x
    x = 14,603.21/55.69
  6. Step 6: Final answer
    x = 262.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.