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Finding the Third Proportional to 54.84 and 131.06

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Solution

The third proportional to 54.84 and 131.06 is: 313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.84 : 131.06 = 131.06 : x
  2. Step 2: Convert to fraction form
    54.84/131.06 = 131.06/x
  3. Step 3: Cross multiply
    54.84x = 131.06 × 131.06
  4. Step 4: Simplify right side
    54.84x = 17,177.38
  5. Step 5: Solve for x
    x = 17,177.38/54.84
  6. Step 6: Final answer
    x = 313.21

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.