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Finding the Third Proportional to 488,530 and 777,123

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Solution

The third proportional to 488,530 and 777,123 is: 1,236,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,530 : 777,123 = 777,123 : x
  2. Step 2: Convert to fraction form
    488,530/777,123 = 777,123/x
  3. Step 3: Cross multiply
    488,530x = 777,123 × 777,123
  4. Step 4: Simplify right side
    488,530x = 603,920,157,129
  5. Step 5: Solve for x
    x = 603,920,157,129/488,530
  6. Step 6: Final answer
    x = 1,236,198.71

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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.