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Finding the Third Proportional to 381,215 and 828,830

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Solution

The third proportional to 381,215 and 828,830 is: 1,802,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,215 : 828,830 = 828,830 : x
  2. Step 2: Convert to fraction form
    381,215/828,830 = 828,830/x
  3. Step 3: Cross multiply
    381,215x = 828,830 × 828,830
  4. Step 4: Simplify right side
    381,215x = 686,959,168,900
  5. Step 5: Solve for x
    x = 686,959,168,900/381,215
  6. Step 6: Final answer
    x = 1,802,025.55

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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.