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Finding the Third Proportional to 75.42 and 165.98

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Solution

The third proportional to 75.42 and 165.98 is: 365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 165.98 = 165.98 : x
  2. Step 2: Convert to fraction form
    75.42/165.98 = 165.98/x
  3. Step 3: Cross multiply
    75.42x = 165.98 × 165.98
  4. Step 4: Simplify right side
    75.42x = 27,550.81
  5. Step 5: Solve for x
    x = 27,550.81/75.42
  6. Step 6: Final answer
    x = 365.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.