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Finding the Third Proportional to 493,843 and 670,747

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Solution

The third proportional to 493,843 and 670,747 is: 911,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,843 : 670,747 = 670,747 : x
  2. Step 2: Convert to fraction form
    493,843/670,747 = 670,747/x
  3. Step 3: Cross multiply
    493,843x = 670,747 × 670,747
  4. Step 4: Simplify right side
    493,843x = 449,901,538,009
  5. Step 5: Solve for x
    x = 449,901,538,009/493,843
  6. Step 6: Final answer
    x = 911,021.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.