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Finding the Third Proportional to 278,780 and 610,912

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Solution

The third proportional to 278,780 and 610,912 is: 1,338,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,780 : 610,912 = 610,912 : x
  2. Step 2: Convert to fraction form
    278,780/610,912 = 610,912/x
  3. Step 3: Cross multiply
    278,780x = 610,912 × 610,912
  4. Step 4: Simplify right side
    278,780x = 373,213,471,744
  5. Step 5: Solve for x
    x = 373,213,471,744/278,780
  6. Step 6: Final answer
    x = 1,338,738.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.