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Finding the Third Proportional to 1,263,978 and 1,788,491.25

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Solution

The third proportional to 1,263,978 and 1,788,491.25 is: 2,530,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,978 : 1,788,491.25 = 1,788,491.25 : x
  2. Step 2: Convert to fraction form
    1,263,978/1,788,491.25 = 1,788,491.25/x
  3. Step 3: Cross multiply
    1,263,978x = 1,788,491.25 × 1,788,491.25
  4. Step 4: Simplify right side
    1,263,978x = 3,198,700,951,326.56
  5. Step 5: Solve for x
    x = 3,198,700,951,326.56/1,263,978
  6. Step 6: Final answer
    x = 2,530,661.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.