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Finding the Third Proportional to 276,108.75 and 664,984.69

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Solution

The third proportional to 276,108.75 and 664,984.69 is: 1,601,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,108.75 : 664,984.69 = 664,984.69 : x
  2. Step 2: Convert to fraction form
    276,108.75/664,984.69 = 664,984.69/x
  3. Step 3: Cross multiply
    276,108.75x = 664,984.69 × 664,984.69
  4. Step 4: Simplify right side
    276,108.75x = 442,204,634,609.47
  5. Step 5: Solve for x
    x = 442,204,634,609.47/276,108.75
  6. Step 6: Final answer
    x = 1,601,559.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.