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Finding the Third Proportional to 378,960 and 818,640

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Solution

The third proportional to 378,960 and 818,640 is: 1,768,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,960 : 818,640 = 818,640 : x
  2. Step 2: Convert to fraction form
    378,960/818,640 = 818,640/x
  3. Step 3: Cross multiply
    378,960x = 818,640 × 818,640
  4. Step 4: Simplify right side
    378,960x = 670,171,449,600
  5. Step 5: Solve for x
    x = 670,171,449,600/378,960
  6. Step 6: Final answer
    x = 1,768,449.04

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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.