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Finding the Third Proportional to 378,342 and 774,180

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Solution

The third proportional to 378,342 and 774,180 is: 1,584,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,342 : 774,180 = 774,180 : x
  2. Step 2: Convert to fraction form
    378,342/774,180 = 774,180/x
  3. Step 3: Cross multiply
    378,342x = 774,180 × 774,180
  4. Step 4: Simplify right side
    378,342x = 599,354,672,400
  5. Step 5: Solve for x
    x = 599,354,672,400/378,342
  6. Step 6: Final answer
    x = 1,584,161.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.