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Finding the Third Proportional to 75.42 and 138.84

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Solution

The third proportional to 75.42 and 138.84 is: 255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 138.84 = 138.84 : x
  2. Step 2: Convert to fraction form
    75.42/138.84 = 138.84/x
  3. Step 3: Cross multiply
    75.42x = 138.84 × 138.84
  4. Step 4: Simplify right side
    75.42x = 19,277.59
  5. Step 5: Solve for x
    x = 19,277.59/75.42
  6. Step 6: Final answer
    x = 255.60

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.