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Finding the Third Proportional to 256,474.69 and 384,849.56

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Solution

The third proportional to 256,474.69 and 384,849.56 is: 577,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,474.69 : 384,849.56 = 384,849.56 : x
  2. Step 2: Convert to fraction form
    256,474.69/384,849.56 = 384,849.56/x
  3. Step 3: Cross multiply
    256,474.69x = 384,849.56 × 384,849.56
  4. Step 4: Simplify right side
    256,474.69x = 148,109,185,756.44
  5. Step 5: Solve for x
    x = 148,109,185,756.44/256,474.69
  6. Step 6: Final answer
    x = 577,480.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.