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Finding the Third Proportional to 128,151.75 and 280,428.75

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Solution

The third proportional to 128,151.75 and 280,428.75 is: 613,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,151.75 : 280,428.75 = 280,428.75 : x
  2. Step 2: Convert to fraction form
    128,151.75/280,428.75 = 280,428.75/x
  3. Step 3: Cross multiply
    128,151.75x = 280,428.75 × 280,428.75
  4. Step 4: Simplify right side
    128,151.75x = 78,640,283,826.56
  5. Step 5: Solve for x
    x = 78,640,283,826.56/128,151.75
  6. Step 6: Final answer
    x = 613,649.71

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