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Finding the Third Proportional to 128,493 and 276,122.25

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Solution

The third proportional to 128,493 and 276,122.25 is: 593,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,493 : 276,122.25 = 276,122.25 : x
  2. Step 2: Convert to fraction form
    128,493/276,122.25 = 276,122.25/x
  3. Step 3: Cross multiply
    128,493x = 276,122.25 × 276,122.25
  4. Step 4: Simplify right side
    128,493x = 76,243,496,945.06
  5. Step 5: Solve for x
    x = 76,243,496,945.06/128,493
  6. Step 6: Final answer
    x = 593,366.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.