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Finding the Third Proportional to 304,846 and 428,911

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Solution

The third proportional to 304,846 and 428,911 is: 603,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,846 : 428,911 = 428,911 : x
  2. Step 2: Convert to fraction form
    304,846/428,911 = 428,911/x
  3. Step 3: Cross multiply
    304,846x = 428,911 × 428,911
  4. Step 4: Simplify right side
    304,846x = 183,964,645,921
  5. Step 5: Solve for x
    x = 183,964,645,921/304,846
  6. Step 6: Final answer
    x = 603,467.48

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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.