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Finding the Third Proportional to 381,972 and 831,912

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Solution

The third proportional to 381,972 and 831,912 is: 1,811,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,972 : 831,912 = 831,912 : x
  2. Step 2: Convert to fraction form
    381,972/831,912 = 831,912/x
  3. Step 3: Cross multiply
    381,972x = 831,912 × 831,912
  4. Step 4: Simplify right side
    381,972x = 692,077,575,744
  5. Step 5: Solve for x
    x = 692,077,575,744/381,972
  6. Step 6: Final answer
    x = 1,811,854.21

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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.