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Finding the Third Proportional to 256,679 and 618,369

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Solution

The third proportional to 256,679 and 618,369 is: 1,489,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,679 : 618,369 = 618,369 : x
  2. Step 2: Convert to fraction form
    256,679/618,369 = 618,369/x
  3. Step 3: Cross multiply
    256,679x = 618,369 × 618,369
  4. Step 4: Simplify right side
    256,679x = 382,380,220,161
  5. Step 5: Solve for x
    x = 382,380,220,161/256,679
  6. Step 6: Final answer
    x = 1,489,721.48

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.