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Finding the Third Proportional to 161,619.75 and 255,791.25

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Solution

The third proportional to 161,619.75 and 255,791.25 is: 404,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,619.75 : 255,791.25 = 255,791.25 : x
  2. Step 2: Convert to fraction form
    161,619.75/255,791.25 = 255,791.25/x
  3. Step 3: Cross multiply
    161,619.75x = 255,791.25 × 255,791.25
  4. Step 4: Simplify right side
    161,619.75x = 65,429,163,576.56
  5. Step 5: Solve for x
    x = 65,429,163,576.56/161,619.75
  6. Step 6: Final answer
    x = 404,833.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.