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Finding the Third Proportional to 381,076.21 and 828,582.54

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Solution

The third proportional to 381,076.21 and 828,582.54 is: 1,801,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,076.21 : 828,582.54 = 828,582.54 : x
  2. Step 2: Convert to fraction form
    381,076.21/828,582.54 = 828,582.54/x
  3. Step 3: Cross multiply
    381,076.21x = 828,582.54 × 828,582.54
  4. Step 4: Simplify right side
    381,076.21x = 686,549,024,039.26
  5. Step 5: Solve for x
    x = 686,549,024,039.26/381,076.21
  6. Step 6: Final answer
    x = 1,801,605.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.