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Finding the Third Proportional to 256,437.56 and 558,027.56

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Solution

The third proportional to 256,437.56 and 558,027.56 is: 1,214,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,437.56 : 558,027.56 = 558,027.56 : x
  2. Step 2: Convert to fraction form
    256,437.56/558,027.56 = 558,027.56/x
  3. Step 3: Cross multiply
    256,437.56x = 558,027.56 × 558,027.56
  4. Step 4: Simplify right side
    256,437.56x = 311,394,760,509.69
  5. Step 5: Solve for x
    x = 311,394,760,509.69/256,437.56
  6. Step 6: Final answer
    x = 1,214,310.25

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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.