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Finding the Third Proportional to 1,355,378 and 1,806,923

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Solution

The third proportional to 1,355,378 and 1,806,923 is: 2,408,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,378 : 1,806,923 = 1,806,923 : x
  2. Step 2: Convert to fraction form
    1,355,378/1,806,923 = 1,806,923/x
  3. Step 3: Cross multiply
    1,355,378x = 1,806,923 × 1,806,923
  4. Step 4: Simplify right side
    1,355,378x = 3,264,970,727,929
  5. Step 5: Solve for x
    x = 3,264,970,727,929/1,355,378
  6. Step 6: Final answer
    x = 2,408,900.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.