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Finding the Third Proportional to 451,644.75 and 664,991.44

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Solution

The third proportional to 451,644.75 and 664,991.44 is: 979,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,644.75 : 664,991.44 = 664,991.44 : x
  2. Step 2: Convert to fraction form
    451,644.75/664,991.44 = 664,991.44/x
  3. Step 3: Cross multiply
    451,644.75x = 664,991.44 × 664,991.44
  4. Step 4: Simplify right side
    451,644.75x = 442,213,611,948.32
  5. Step 5: Solve for x
    x = 442,213,611,948.32/451,644.75
  6. Step 6: Final answer
    x = 979,118.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.