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Finding the Third Proportional to 75.56 and 120.05

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Solution

The third proportional to 75.56 and 120.05 is: 190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.56 : 120.05 = 120.05 : x
  2. Step 2: Convert to fraction form
    75.56/120.05 = 120.05/x
  3. Step 3: Cross multiply
    75.56x = 120.05 × 120.05
  4. Step 4: Simplify right side
    75.56x = 14,411.25
  5. Step 5: Solve for x
    x = 14,411.25/75.56
  6. Step 6: Final answer
    x = 190.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.