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Finding the Third Proportional to 986,208.75 and 1,479,336.75

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Solution

The third proportional to 986,208.75 and 1,479,336.75 is: 2,219,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,208.75 : 1,479,336.75 = 1,479,336.75 : x
  2. Step 2: Convert to fraction form
    986,208.75/1,479,336.75 = 1,479,336.75/x
  3. Step 3: Cross multiply
    986,208.75x = 1,479,336.75 × 1,479,336.75
  4. Step 4: Simplify right side
    986,208.75x = 2,188,437,219,900.56
  5. Step 5: Solve for x
    x = 2,188,437,219,900.56/986,208.75
  6. Step 6: Final answer
    x = 2,219,040.56

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Why These Related Problems?

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