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Finding the Third Proportional to 54.63 and 83.88

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Solution

The third proportional to 54.63 and 83.88 is: 128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.63 : 83.88 = 83.88 : x
  2. Step 2: Convert to fraction form
    54.63/83.88 = 83.88/x
  3. Step 3: Cross multiply
    54.63x = 83.88 × 83.88
  4. Step 4: Simplify right side
    54.63x = 7,035.02
  5. Step 5: Solve for x
    x = 7,035.02/54.63
  6. Step 6: Final answer
    x = 128.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.