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Finding the Third Proportional to 603,442 and 831,246

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Solution

The third proportional to 603,442 and 831,246 is: 1,145,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,442 : 831,246 = 831,246 : x
  2. Step 2: Convert to fraction form
    603,442/831,246 = 831,246/x
  3. Step 3: Cross multiply
    603,442x = 831,246 × 831,246
  4. Step 4: Simplify right side
    603,442x = 690,969,912,516
  5. Step 5: Solve for x
    x = 690,969,912,516/603,442
  6. Step 6: Final answer
    x = 1,145,047.76

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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.