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Finding the Third Proportional to 311,920 and 675,678

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Solution

The third proportional to 311,920 and 675,678 is: 1,463,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,920 : 675,678 = 675,678 : x
  2. Step 2: Convert to fraction form
    311,920/675,678 = 675,678/x
  3. Step 3: Cross multiply
    311,920x = 675,678 × 675,678
  4. Step 4: Simplify right side
    311,920x = 456,540,759,684
  5. Step 5: Solve for x
    x = 456,540,759,684/311,920
  6. Step 6: Final answer
    x = 1,463,646.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.