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Finding the Third Proportional to 381,572 and 828,700

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Solution

The third proportional to 381,572 and 828,700 is: 1,799,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,572 : 828,700 = 828,700 : x
  2. Step 2: Convert to fraction form
    381,572/828,700 = 828,700/x
  3. Step 3: Cross multiply
    381,572x = 828,700 × 828,700
  4. Step 4: Simplify right side
    381,572x = 686,743,690,000
  5. Step 5: Solve for x
    x = 686,743,690,000/381,572
  6. Step 6: Final answer
    x = 1,799,774.85

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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.