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Finding the Third Proportional to 514.38 and 771.63

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Solution

The third proportional to 514.38 and 771.63 is: 1,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.38 : 771.63 = 771.63 : x
  2. Step 2: Convert to fraction form
    514.38/771.63 = 771.63/x
  3. Step 3: Cross multiply
    514.38x = 771.63 × 771.63
  4. Step 4: Simplify right side
    514.38x = 595,405.14
  5. Step 5: Solve for x
    x = 595,405.14/514.38
  6. Step 6: Final answer
    x = 1,157.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.