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Finding the Third Proportional to 378,196 and 559,818

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Solution

The third proportional to 378,196 and 559,818 is: 828,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,196 : 559,818 = 559,818 : x
  2. Step 2: Convert to fraction form
    378,196/559,818 = 559,818/x
  3. Step 3: Cross multiply
    378,196x = 559,818 × 559,818
  4. Step 4: Simplify right side
    378,196x = 313,396,193,124
  5. Step 5: Solve for x
    x = 313,396,193,124/378,196
  6. Step 6: Final answer
    x = 828,660.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.