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Finding the Third Proportional to 256,884 and 531,672

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Solution

The third proportional to 256,884 and 531,672 is: 1,100,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,884 : 531,672 = 531,672 : x
  2. Step 2: Convert to fraction form
    256,884/531,672 = 531,672/x
  3. Step 3: Cross multiply
    256,884x = 531,672 × 531,672
  4. Step 4: Simplify right side
    256,884x = 282,675,115,584
  5. Step 5: Solve for x
    x = 282,675,115,584/256,884
  6. Step 6: Final answer
    x = 1,100,399.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.