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Finding the Third Proportional to 381,970 and 831,908

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Solution

The third proportional to 381,970 and 831,908 is: 1,811,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,970 : 831,908 = 831,908 : x
  2. Step 2: Convert to fraction form
    381,970/831,908 = 831,908/x
  3. Step 3: Cross multiply
    381,970x = 831,908 × 831,908
  4. Step 4: Simplify right side
    381,970x = 692,070,920,464
  5. Step 5: Solve for x
    x = 692,070,920,464/381,970
  6. Step 6: Final answer
    x = 1,811,846.27

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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.