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Finding the Third Proportional to 447,954 and 645,435

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Solution

The third proportional to 447,954 and 645,435 is: 929,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,954 : 645,435 = 645,435 : x
  2. Step 2: Convert to fraction form
    447,954/645,435 = 645,435/x
  3. Step 3: Cross multiply
    447,954x = 645,435 × 645,435
  4. Step 4: Simplify right side
    447,954x = 416,586,339,225
  5. Step 5: Solve for x
    x = 416,586,339,225/447,954
  6. Step 6: Final answer
    x = 929,975.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.