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Finding the Third Proportional to 128,826.75 and 274,775.25

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Solution

The third proportional to 128,826.75 and 274,775.25 is: 586,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,826.75 : 274,775.25 = 274,775.25 : x
  2. Step 2: Convert to fraction form
    128,826.75/274,775.25 = 274,775.25/x
  3. Step 3: Cross multiply
    128,826.75x = 274,775.25 × 274,775.25
  4. Step 4: Simplify right side
    128,826.75x = 75,501,438,012.56
  5. Step 5: Solve for x
    x = 75,501,438,012.56/128,826.75
  6. Step 6: Final answer
    x = 586,069.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.