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Finding the Third Proportional to 266,611 and 408,826

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Solution

The third proportional to 266,611 and 408,826 is: 626,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,611 : 408,826 = 408,826 : x
  2. Step 2: Convert to fraction form
    266,611/408,826 = 408,826/x
  3. Step 3: Cross multiply
    266,611x = 408,826 × 408,826
  4. Step 4: Simplify right side
    266,611x = 167,138,698,276
  5. Step 5: Solve for x
    x = 167,138,698,276/266,611
  6. Step 6: Final answer
    x = 626,900.98

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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.