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Finding the Third Proportional to 75.30 and 120.87

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Solution

The third proportional to 75.30 and 120.87 is: 194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.30 : 120.87 = 120.87 : x
  2. Step 2: Convert to fraction form
    75.30/120.87 = 120.87/x
  3. Step 3: Cross multiply
    75.30x = 120.87 × 120.87
  4. Step 4: Simplify right side
    75.30x = 14,608.88
  5. Step 5: Solve for x
    x = 14,608.88/75.30
  6. Step 6: Final answer
    x = 194.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.