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Finding the Third Proportional to 256,760 and 383,724

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Solution

The third proportional to 256,760 and 383,724 is: 573,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,760 : 383,724 = 383,724 : x
  2. Step 2: Convert to fraction form
    256,760/383,724 = 383,724/x
  3. Step 3: Cross multiply
    256,760x = 383,724 × 383,724
  4. Step 4: Simplify right side
    256,760x = 147,244,108,176
  5. Step 5: Solve for x
    x = 147,244,108,176/256,760
  6. Step 6: Final answer
    x = 573,469.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.