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Finding the Third Proportional to 620,800 and 1,340,608

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Solution

The third proportional to 620,800 and 1,340,608 is: 2,895,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,800 : 1,340,608 = 1,340,608 : x
  2. Step 2: Convert to fraction form
    620,800/1,340,608 = 1,340,608/x
  3. Step 3: Cross multiply
    620,800x = 1,340,608 × 1,340,608
  4. Step 4: Simplify right side
    620,800x = 1,797,229,809,664
  5. Step 5: Solve for x
    x = 1,797,229,809,664/620,800
  6. Step 6: Final answer
    x = 2,895,022.24

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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.