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Finding the Third Proportional to 127,896.56 and 213,147.84

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Solution

The third proportional to 127,896.56 and 213,147.84 is: 355,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,896.56 : 213,147.84 = 213,147.84 : x
  2. Step 2: Convert to fraction form
    127,896.56/213,147.84 = 213,147.84/x
  3. Step 3: Cross multiply
    127,896.56x = 213,147.84 × 213,147.84
  4. Step 4: Simplify right side
    127,896.56x = 45,432,003,295.27
  5. Step 5: Solve for x
    x = 45,432,003,295.27/127,896.56
  6. Step 6: Final answer
    x = 355,224.58

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.