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Finding the Third Proportional to 55.06 and 84.03

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Solution

The third proportional to 55.06 and 84.03 is: 128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.06 : 84.03 = 84.03 : x
  2. Step 2: Convert to fraction form
    55.06/84.03 = 84.03/x
  3. Step 3: Cross multiply
    55.06x = 84.03 × 84.03
  4. Step 4: Simplify right side
    55.06x = 7,061.25
  5. Step 5: Solve for x
    x = 7,061.25/55.06
  6. Step 6: Final answer
    x = 128.24

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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.