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Finding the Third Proportional to 313,890 and 678,078

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Solution

The third proportional to 313,890 and 678,078 is: 1,464,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,890 : 678,078 = 678,078 : x
  2. Step 2: Convert to fraction form
    313,890/678,078 = 678,078/x
  3. Step 3: Cross multiply
    313,890x = 678,078 × 678,078
  4. Step 4: Simplify right side
    313,890x = 459,789,774,084
  5. Step 5: Solve for x
    x = 459,789,774,084/313,890
  6. Step 6: Final answer
    x = 1,464,811.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.