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Finding the Third Proportional to 381,976 and 831,920

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Solution

The third proportional to 381,976 and 831,920 is: 1,811,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,976 : 831,920 = 831,920 : x
  2. Step 2: Convert to fraction form
    381,976/831,920 = 831,920/x
  3. Step 3: Cross multiply
    381,976x = 831,920 × 831,920
  4. Step 4: Simplify right side
    381,976x = 692,090,886,400
  5. Step 5: Solve for x
    x = 692,090,886,400/381,976
  6. Step 6: Final answer
    x = 1,811,870.08

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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.