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Finding the Third Proportional to 378,760.50 and 828,780.75

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Solution

The third proportional to 378,760.50 and 828,780.75 is: 1,813,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,760.50 : 828,780.75 = 828,780.75 : x
  2. Step 2: Convert to fraction form
    378,760.50/828,780.75 = 828,780.75/x
  3. Step 3: Cross multiply
    378,760.50x = 828,780.75 × 828,780.75
  4. Step 4: Simplify right side
    378,760.50x = 686,877,531,570.56
  5. Step 5: Solve for x
    x = 686,877,531,570.56/378,760.50
  6. Step 6: Final answer
    x = 1,813,487.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.