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Finding the Third Proportional to 256,344.50 and 552,131.25

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Solution

The third proportional to 256,344.50 and 552,131.25 is: 1,189,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,344.50 : 552,131.25 = 552,131.25 : x
  2. Step 2: Convert to fraction form
    256,344.50/552,131.25 = 552,131.25/x
  3. Step 3: Cross multiply
    256,344.50x = 552,131.25 × 552,131.25
  4. Step 4: Simplify right side
    256,344.50x = 304,848,917,226.56
  5. Step 5: Solve for x
    x = 304,848,917,226.56/256,344.50
  6. Step 6: Final answer
    x = 1,189,215.75

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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.