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Finding the Third Proportional to 382,400 and 831,136

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Solution

The third proportional to 382,400 and 831,136 is: 1,806,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,400 : 831,136 = 831,136 : x
  2. Step 2: Convert to fraction form
    382,400/831,136 = 831,136/x
  3. Step 3: Cross multiply
    382,400x = 831,136 × 831,136
  4. Step 4: Simplify right side
    382,400x = 690,787,050,496
  5. Step 5: Solve for x
    x = 690,787,050,496/382,400
  6. Step 6: Final answer
    x = 1,806,451.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.