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Finding the Third Proportional to 256,284 and 550,456

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Solution

The third proportional to 256,284 and 550,456 is: 1,182,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,284 : 550,456 = 550,456 : x
  2. Step 2: Convert to fraction form
    256,284/550,456 = 550,456/x
  3. Step 3: Cross multiply
    256,284x = 550,456 × 550,456
  4. Step 4: Simplify right side
    256,284x = 303,001,807,936
  5. Step 5: Solve for x
    x = 303,001,807,936/256,284
  6. Step 6: Final answer
    x = 1,182,289.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.