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Finding the Third Proportional to 120.76 and 245.64

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Solution

The third proportional to 120.76 and 245.64 is: 499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.76 : 245.64 = 245.64 : x
  2. Step 2: Convert to fraction form
    120.76/245.64 = 245.64/x
  3. Step 3: Cross multiply
    120.76x = 245.64 × 245.64
  4. Step 4: Simplify right side
    120.76x = 60,337.40
  5. Step 5: Solve for x
    x = 60,337.40/120.76
  6. Step 6: Final answer
    x = 499.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.