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Finding the Third Proportional to 481,129 and 672,647

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Solution

The third proportional to 481,129 and 672,647 is: 940,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,129 : 672,647 = 672,647 : x
  2. Step 2: Convert to fraction form
    481,129/672,647 = 672,647/x
  3. Step 3: Cross multiply
    481,129x = 672,647 × 672,647
  4. Step 4: Simplify right side
    481,129x = 452,453,986,609
  5. Step 5: Solve for x
    x = 452,453,986,609/481,129
  6. Step 6: Final answer
    x = 940,400.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.