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Finding the Third Proportional to 289,923 and 408,276

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Solution

The third proportional to 289,923 and 408,276 is: 574,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,923 : 408,276 = 408,276 : x
  2. Step 2: Convert to fraction form
    289,923/408,276 = 408,276/x
  3. Step 3: Cross multiply
    289,923x = 408,276 × 408,276
  4. Step 4: Simplify right side
    289,923x = 166,689,292,176
  5. Step 5: Solve for x
    x = 166,689,292,176/289,923
  6. Step 6: Final answer
    x = 574,943.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.