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Finding the Third Proportional to 789,378 and 1,203,715

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Solution

The third proportional to 789,378 and 1,203,715 is: 1,835,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,378 : 1,203,715 = 1,203,715 : x
  2. Step 2: Convert to fraction form
    789,378/1,203,715 = 1,203,715/x
  3. Step 3: Cross multiply
    789,378x = 1,203,715 × 1,203,715
  4. Step 4: Simplify right side
    789,378x = 1,448,929,801,225
  5. Step 5: Solve for x
    x = 1,448,929,801,225/789,378
  6. Step 6: Final answer
    x = 1,835,533.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.