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Finding the Third Proportional to 381,952 and 831,872

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Solution

The third proportional to 381,952 and 831,872 is: 1,811,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,952 : 831,872 = 831,872 : x
  2. Step 2: Convert to fraction form
    381,952/831,872 = 831,872/x
  3. Step 3: Cross multiply
    381,952x = 831,872 × 831,872
  4. Step 4: Simplify right side
    381,952x = 692,011,024,384
  5. Step 5: Solve for x
    x = 692,011,024,384/381,952
  6. Step 6: Final answer
    x = 1,811,774.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.