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Finding the Third Proportional to 520.73 and 771.84

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Solution

The third proportional to 520.73 and 771.84 is: 1,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.73 : 771.84 = 771.84 : x
  2. Step 2: Convert to fraction form
    520.73/771.84 = 771.84/x
  3. Step 3: Cross multiply
    520.73x = 771.84 × 771.84
  4. Step 4: Simplify right side
    520.73x = 595,742.77
  5. Step 5: Solve for x
    x = 595,742.77/520.73
  6. Step 6: Final answer
    x = 1,144.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.