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Finding the Third Proportional to 256,885 and 531,674

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Solution

The third proportional to 256,885 and 531,674 is: 1,100,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,885 : 531,674 = 531,674 : x
  2. Step 2: Convert to fraction form
    256,885/531,674 = 531,674/x
  3. Step 3: Cross multiply
    256,885x = 531,674 × 531,674
  4. Step 4: Simplify right side
    256,885x = 282,677,242,276
  5. Step 5: Solve for x
    x = 282,677,242,276/256,885
  6. Step 6: Final answer
    x = 1,100,403.85

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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.