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Finding the Third Proportional to 1,821,717 and 2,673,465

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Solution

The third proportional to 1,821,717 and 2,673,465 is: 3,923,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,717 : 2,673,465 = 2,673,465 : x
  2. Step 2: Convert to fraction form
    1,821,717/2,673,465 = 2,673,465/x
  3. Step 3: Cross multiply
    1,821,717x = 2,673,465 × 2,673,465
  4. Step 4: Simplify right side
    1,821,717x = 7,147,415,106,225
  5. Step 5: Solve for x
    x = 7,147,415,106,225/1,821,717
  6. Step 6: Final answer
    x = 3,923,449.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.