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Finding the Third Proportional to 256,896 and 409,126

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Solution

The third proportional to 256,896 and 409,126 is: 651,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,896 : 409,126 = 409,126 : x
  2. Step 2: Convert to fraction form
    256,896/409,126 = 409,126/x
  3. Step 3: Cross multiply
    256,896x = 409,126 × 409,126
  4. Step 4: Simplify right side
    256,896x = 167,384,083,876
  5. Step 5: Solve for x
    x = 167,384,083,876/256,896
  6. Step 6: Final answer
    x = 651,563.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.