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Finding the Third Proportional to 55.13 and 84.06

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Solution

The third proportional to 55.13 and 84.06 is: 128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.13 : 84.06 = 84.06 : x
  2. Step 2: Convert to fraction form
    55.13/84.06 = 84.06/x
  3. Step 3: Cross multiply
    55.13x = 84.06 × 84.06
  4. Step 4: Simplify right side
    55.13x = 7,066.50
  5. Step 5: Solve for x
    x = 7,066.50/55.13
  6. Step 6: Final answer
    x = 128.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.