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Finding the Third Proportional to 397,982.25 and 612,458.50

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Solution

The third proportional to 397,982.25 and 612,458.50 is: 942,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,982.25 : 612,458.50 = 612,458.50 : x
  2. Step 2: Convert to fraction form
    397,982.25/612,458.50 = 612,458.50/x
  3. Step 3: Cross multiply
    397,982.25x = 612,458.50 × 612,458.50
  4. Step 4: Simplify right side
    397,982.25x = 375,105,414,222.25
  5. Step 5: Solve for x
    x = 375,105,414,222.25/397,982.25
  6. Step 6: Final answer
    x = 942,517.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.