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Finding the Third Proportional to 381,575 and 828,706

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Solution

The third proportional to 381,575 and 828,706 is: 1,799,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,575 : 828,706 = 828,706 : x
  2. Step 2: Convert to fraction form
    381,575/828,706 = 828,706/x
  3. Step 3: Cross multiply
    381,575x = 828,706 × 828,706
  4. Step 4: Simplify right side
    381,575x = 686,753,634,436
  5. Step 5: Solve for x
    x = 686,753,634,436/381,575
  6. Step 6: Final answer
    x = 1,799,786.76

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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.