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Finding the Third Proportional to 332,019 and 461,121.75

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Solution

The third proportional to 332,019 and 461,121.75 is: 640,425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,019 : 461,121.75 = 461,121.75 : x
  2. Step 2: Convert to fraction form
    332,019/461,121.75 = 461,121.75/x
  3. Step 3: Cross multiply
    332,019x = 461,121.75 × 461,121.75
  4. Step 4: Simplify right side
    332,019x = 212,633,268,323.06
  5. Step 5: Solve for x
    x = 212,633,268,323.06/332,019
  6. Step 6: Final answer
    x = 640,425.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.