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Finding the Third Proportional to 338,932 and 481,845

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Solution

The third proportional to 338,932 and 481,845 is: 685,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,932 : 481,845 = 481,845 : x
  2. Step 2: Convert to fraction form
    338,932/481,845 = 481,845/x
  3. Step 3: Cross multiply
    338,932x = 481,845 × 481,845
  4. Step 4: Simplify right side
    338,932x = 232,174,604,025
  5. Step 5: Solve for x
    x = 232,174,604,025/338,932
  6. Step 6: Final answer
    x = 685,018.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.