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Finding the Third Proportional to 313,893 and 678,087

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Solution

The third proportional to 313,893 and 678,087 is: 1,464,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,893 : 678,087 = 678,087 : x
  2. Step 2: Convert to fraction form
    313,893/678,087 = 678,087/x
  3. Step 3: Cross multiply
    313,893x = 678,087 × 678,087
  4. Step 4: Simplify right side
    313,893x = 459,801,979,569
  5. Step 5: Solve for x
    x = 459,801,979,569/313,893
  6. Step 6: Final answer
    x = 1,464,836.68

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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.