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Finding the Third Proportional to 55.22 and 84.31

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Solution

The third proportional to 55.22 and 84.31 is: 128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.22 : 84.31 = 84.31 : x
  2. Step 2: Convert to fraction form
    55.22/84.31 = 84.31/x
  3. Step 3: Cross multiply
    55.22x = 84.31 × 84.31
  4. Step 4: Simplify right side
    55.22x = 7,108.60
  5. Step 5: Solve for x
    x = 7,108.60/55.22
  6. Step 6: Final answer
    x = 128.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.