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Finding the Third Proportional to 457,923 and 673,172

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Solution

The third proportional to 457,923 and 673,172 is: 989,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,923 : 673,172 = 673,172 : x
  2. Step 2: Convert to fraction form
    457,923/673,172 = 673,172/x
  3. Step 3: Cross multiply
    457,923x = 673,172 × 673,172
  4. Step 4: Simplify right side
    457,923x = 453,160,541,584
  5. Step 5: Solve for x
    x = 453,160,541,584/457,923
  6. Step 6: Final answer
    x = 989,599.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.