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Finding the Third Proportional to 381,974 and 831,916

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Solution

The third proportional to 381,974 and 831,916 is: 1,811,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,974 : 831,916 = 831,916 : x
  2. Step 2: Convert to fraction form
    381,974/831,916 = 831,916/x
  3. Step 3: Cross multiply
    381,974x = 831,916 × 831,916
  4. Step 4: Simplify right side
    381,974x = 692,084,231,056
  5. Step 5: Solve for x
    x = 692,084,231,056/381,974
  6. Step 6: Final answer
    x = 1,811,862.15

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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.