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Finding the Third Proportional to 266,609 and 408,823

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Solution

The third proportional to 266,609 and 408,823 is: 626,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,609 : 408,823 = 408,823 : x
  2. Step 2: Convert to fraction form
    266,609/408,823 = 408,823/x
  3. Step 3: Cross multiply
    266,609x = 408,823 × 408,823
  4. Step 4: Simplify right side
    266,609x = 167,136,245,329
  5. Step 5: Solve for x
    x = 167,136,245,329/266,609
  6. Step 6: Final answer
    x = 626,896.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.