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Finding the Third Proportional to 256,802 and 521,378

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Solution

The third proportional to 256,802 and 521,378 is: 1,058,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,802 : 521,378 = 521,378 : x
  2. Step 2: Convert to fraction form
    256,802/521,378 = 521,378/x
  3. Step 3: Cross multiply
    256,802x = 521,378 × 521,378
  4. Step 4: Simplify right side
    256,802x = 271,835,018,884
  5. Step 5: Solve for x
    x = 271,835,018,884/256,802
  6. Step 6: Final answer
    x = 1,058,539.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.