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Finding the Third Proportional to 311,905 and 679,780

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Solution

The third proportional to 311,905 and 679,780 is: 1,481,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,905 : 679,780 = 679,780 : x
  2. Step 2: Convert to fraction form
    311,905/679,780 = 679,780/x
  3. Step 3: Cross multiply
    311,905x = 679,780 × 679,780
  4. Step 4: Simplify right side
    311,905x = 462,100,848,400
  5. Step 5: Solve for x
    x = 462,100,848,400/311,905
  6. Step 6: Final answer
    x = 1,481,543.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.