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Finding the Third Proportional to 603,438 and 831,241

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Solution

The third proportional to 603,438 and 831,241 is: 1,145,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,438 : 831,241 = 831,241 : x
  2. Step 2: Convert to fraction form
    603,438/831,241 = 831,241/x
  3. Step 3: Cross multiply
    603,438x = 831,241 × 831,241
  4. Step 4: Simplify right side
    603,438x = 690,961,600,081
  5. Step 5: Solve for x
    x = 690,961,600,081/603,438
  6. Step 6: Final answer
    x = 1,145,041.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.