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Finding the Third Proportional to 381,636 and 828,882

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Solution

The third proportional to 381,636 and 828,882 is: 1,800,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,636 : 828,882 = 828,882 : x
  2. Step 2: Convert to fraction form
    381,636/828,882 = 828,882/x
  3. Step 3: Cross multiply
    381,636x = 828,882 × 828,882
  4. Step 4: Simplify right side
    381,636x = 687,045,369,924
  5. Step 5: Solve for x
    x = 687,045,369,924/381,636
  6. Step 6: Final answer
    x = 1,800,263.52

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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.