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Finding the Third Proportional to 611,360 and 1,340,821

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Solution

The third proportional to 611,360 and 1,340,821 is: 2,940,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,360 : 1,340,821 = 1,340,821 : x
  2. Step 2: Convert to fraction form
    611,360/1,340,821 = 1,340,821/x
  3. Step 3: Cross multiply
    611,360x = 1,340,821 × 1,340,821
  4. Step 4: Simplify right side
    611,360x = 1,797,800,954,041
  5. Step 5: Solve for x
    x = 1,797,800,954,041/611,360
  6. Step 6: Final answer
    x = 2,940,658.46

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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.