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Finding the Third Proportional to 256,852 and 558,200

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Solution

The third proportional to 256,852 and 558,200 is: 1,213,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,852 : 558,200 = 558,200 : x
  2. Step 2: Convert to fraction form
    256,852/558,200 = 558,200/x
  3. Step 3: Cross multiply
    256,852x = 558,200 × 558,200
  4. Step 4: Simplify right side
    256,852x = 311,587,240,000
  5. Step 5: Solve for x
    x = 311,587,240,000/256,852
  6. Step 6: Final answer
    x = 1,213,100.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.