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Finding the Third Proportional to 54.16 and 71.09

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Solution

The third proportional to 54.16 and 71.09 is: 93.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.16 : 71.09 = 71.09 : x
  2. Step 2: Convert to fraction form
    54.16/71.09 = 71.09/x
  3. Step 3: Cross multiply
    54.16x = 71.09 × 71.09
  4. Step 4: Simplify right side
    54.16x = 5,054.32
  5. Step 5: Solve for x
    x = 5,054.32/54.16
  6. Step 6: Final answer
    x = 93.33

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.