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Finding the Third Proportional to 128,164.25 and 280,453.75

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Solution

The third proportional to 128,164.25 and 280,453.75 is: 613,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,164.25 : 280,453.75 = 280,453.75 : x
  2. Step 2: Convert to fraction form
    128,164.25/280,453.75 = 280,453.75/x
  3. Step 3: Cross multiply
    128,164.25x = 280,453.75 × 280,453.75
  4. Step 4: Simplify right side
    128,164.25x = 78,654,305,889.06
  5. Step 5: Solve for x
    x = 78,654,305,889.06/128,164.25
  6. Step 6: Final answer
    x = 613,699.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.