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Finding the Third Proportional to 378,100 and 818,260

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Solution

The third proportional to 378,100 and 818,260 is: 1,770,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,100 : 818,260 = 818,260 : x
  2. Step 2: Convert to fraction form
    378,100/818,260 = 818,260/x
  3. Step 3: Cross multiply
    378,100x = 818,260 × 818,260
  4. Step 4: Simplify right side
    378,100x = 669,549,427,600
  5. Step 5: Solve for x
    x = 669,549,427,600/378,100
  6. Step 6: Final answer
    x = 1,770,826.31

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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.