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Finding the Third Proportional to 298,533 and 447,615

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Solution

The third proportional to 298,533 and 447,615 is: 671,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,533 : 447,615 = 447,615 : x
  2. Step 2: Convert to fraction form
    298,533/447,615 = 447,615/x
  3. Step 3: Cross multiply
    298,533x = 447,615 × 447,615
  4. Step 4: Simplify right side
    298,533x = 200,359,188,225
  5. Step 5: Solve for x
    x = 200,359,188,225/298,533
  6. Step 6: Final answer
    x = 671,145.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.