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Finding the Third Proportional to 256,638 and 558,430

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Solution

The third proportional to 256,638 and 558,430 is: 1,215,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,638 : 558,430 = 558,430 : x
  2. Step 2: Convert to fraction form
    256,638/558,430 = 558,430/x
  3. Step 3: Cross multiply
    256,638x = 558,430 × 558,430
  4. Step 4: Simplify right side
    256,638x = 311,844,064,900
  5. Step 5: Solve for x
    x = 311,844,064,900/256,638
  6. Step 6: Final answer
    x = 1,215,112.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.