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Finding the Third Proportional to 266,531.06 and 629,188.31

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Solution

The third proportional to 266,531.06 and 629,188.31 is: 1,485,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,531.06 : 629,188.31 = 629,188.31 : x
  2. Step 2: Convert to fraction form
    266,531.06/629,188.31 = 629,188.31/x
  3. Step 3: Cross multiply
    266,531.06x = 629,188.31 × 629,188.31
  4. Step 4: Simplify right side
    266,531.06x = 395,877,932,586.60
  5. Step 5: Solve for x
    x = 395,877,932,586.60/266,531.06
  6. Step 6: Final answer
    x = 1,485,297.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.