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Finding the Third Proportional to 428,038 and 663,697

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Solution

The third proportional to 428,038 and 663,697 is: 1,029,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,038 : 663,697 = 663,697 : x
  2. Step 2: Convert to fraction form
    428,038/663,697 = 663,697/x
  3. Step 3: Cross multiply
    428,038x = 663,697 × 663,697
  4. Step 4: Simplify right side
    428,038x = 440,493,707,809
  5. Step 5: Solve for x
    x = 440,493,707,809/428,038
  6. Step 6: Final answer
    x = 1,029,099.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.