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Finding the Third Proportional to 195,918.75 and 400,140

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Solution

The third proportional to 195,918.75 and 400,140 is: 817,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,918.75 : 400,140 = 400,140 : x
  2. Step 2: Convert to fraction form
    195,918.75/400,140 = 400,140/x
  3. Step 3: Cross multiply
    195,918.75x = 400,140 × 400,140
  4. Step 4: Simplify right side
    195,918.75x = 160,112,019,600
  5. Step 5: Solve for x
    x = 160,112,019,600/195,918.75
  6. Step 6: Final answer
    x = 817,236.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.