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Finding the Third Proportional to 209,564 and 428,812

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Solution

The third proportional to 209,564 and 428,812 is: 877,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,564 : 428,812 = 428,812 : x
  2. Step 2: Convert to fraction form
    209,564/428,812 = 428,812/x
  3. Step 3: Cross multiply
    209,564x = 428,812 × 428,812
  4. Step 4: Simplify right side
    209,564x = 183,879,731,344
  5. Step 5: Solve for x
    x = 183,879,731,344/209,564
  6. Step 6: Final answer
    x = 877,439.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.