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Finding the Third Proportional to 378,592 and 828,467

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Solution

The third proportional to 378,592 and 828,467 is: 1,812,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,592 : 828,467 = 828,467 : x
  2. Step 2: Convert to fraction form
    378,592/828,467 = 828,467/x
  3. Step 3: Cross multiply
    378,592x = 828,467 × 828,467
  4. Step 4: Simplify right side
    378,592x = 686,357,570,089
  5. Step 5: Solve for x
    x = 686,357,570,089/378,592
  6. Step 6: Final answer
    x = 1,812,921.48

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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.