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Finding the Third Proportional to 678,786.75 and 1,002,339.56

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Solution

The third proportional to 678,786.75 and 1,002,339.56 is: 1,480,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,786.75 : 1,002,339.56 = 1,002,339.56 : x
  2. Step 2: Convert to fraction form
    678,786.75/1,002,339.56 = 1,002,339.56/x
  3. Step 3: Cross multiply
    678,786.75x = 1,002,339.56 × 1,002,339.56
  4. Step 4: Simplify right side
    678,786.75x = 1,004,684,598,552.69
  5. Step 5: Solve for x
    x = 1,004,684,598,552.69/678,786.75
  6. Step 6: Final answer
    x = 1,480,118.16

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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.