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Finding the Third Proportional to 75.19 and 120.56

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Solution

The third proportional to 75.19 and 120.56 is: 193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.19 : 120.56 = 120.56 : x
  2. Step 2: Convert to fraction form
    75.19/120.56 = 120.56/x
  3. Step 3: Cross multiply
    75.19x = 120.56 × 120.56
  4. Step 4: Simplify right side
    75.19x = 14,535.32
  5. Step 5: Solve for x
    x = 14,535.32/75.19
  6. Step 6: Final answer
    x = 193.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.