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Finding the Third Proportional to 289,183.50 and 645,435

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Solution

The third proportional to 289,183.50 and 645,435 is: 1,440,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,183.50 : 645,435 = 645,435 : x
  2. Step 2: Convert to fraction form
    289,183.50/645,435 = 645,435/x
  3. Step 3: Cross multiply
    289,183.50x = 645,435 × 645,435
  4. Step 4: Simplify right side
    289,183.50x = 416,586,339,225
  5. Step 5: Solve for x
    x = 416,586,339,225/289,183.50
  6. Step 6: Final answer
    x = 1,440,560.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.