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Finding the Third Proportional to 75.75 and 174.84

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Solution

The third proportional to 75.75 and 174.84 is: 403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.75 : 174.84 = 174.84 : x
  2. Step 2: Convert to fraction form
    75.75/174.84 = 174.84/x
  3. Step 3: Cross multiply
    75.75x = 174.84 × 174.84
  4. Step 4: Simplify right side
    75.75x = 30,570.34
  5. Step 5: Solve for x
    x = 30,570.34/75.75
  6. Step 6: Final answer
    x = 403.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.