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Finding the Third Proportional to 257,904 and 381,936

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Solution

The third proportional to 257,904 and 381,936 is: 565,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,904 : 381,936 = 381,936 : x
  2. Step 2: Convert to fraction form
    257,904/381,936 = 381,936/x
  3. Step 3: Cross multiply
    257,904x = 381,936 × 381,936
  4. Step 4: Simplify right side
    257,904x = 145,875,108,096
  5. Step 5: Solve for x
    x = 145,875,108,096/257,904
  6. Step 6: Final answer
    x = 565,617.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.