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Finding the Third Proportional to 603,438 and 831,243

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Solution

The third proportional to 603,438 and 831,243 is: 1,145,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,438 : 831,243 = 831,243 : x
  2. Step 2: Convert to fraction form
    603,438/831,243 = 831,243/x
  3. Step 3: Cross multiply
    603,438x = 831,243 × 831,243
  4. Step 4: Simplify right side
    603,438x = 690,964,925,049
  5. Step 5: Solve for x
    x = 690,964,925,049/603,438
  6. Step 6: Final answer
    x = 1,145,047.09

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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.