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Finding the Third Proportional to 55.83 and 84.09

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Solution

The third proportional to 55.83 and 84.09 is: 126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.83 : 84.09 = 84.09 : x
  2. Step 2: Convert to fraction form
    55.83/84.09 = 84.09/x
  3. Step 3: Cross multiply
    55.83x = 84.09 × 84.09
  4. Step 4: Simplify right side
    55.83x = 7,071.76
  5. Step 5: Solve for x
    x = 7,071.76/55.83
  6. Step 6: Final answer
    x = 126.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.