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Finding the Third Proportional to 381,968 and 831,904

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Solution

The third proportional to 381,968 and 831,904 is: 1,811,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,968 : 831,904 = 831,904 : x
  2. Step 2: Convert to fraction form
    381,968/831,904 = 831,904/x
  3. Step 3: Cross multiply
    381,968x = 831,904 × 831,904
  4. Step 4: Simplify right side
    381,968x = 692,064,265,216
  5. Step 5: Solve for x
    x = 692,064,265,216/381,968
  6. Step 6: Final answer
    x = 1,811,838.34

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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.