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Finding the Third Proportional to 256,500.75 and 384,887.25

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Solution

The third proportional to 256,500.75 and 384,887.25 is: 577,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,500.75 : 384,887.25 = 384,887.25 : x
  2. Step 2: Convert to fraction form
    256,500.75/384,887.25 = 384,887.25/x
  3. Step 3: Cross multiply
    256,500.75x = 384,887.25 × 384,887.25
  4. Step 4: Simplify right side
    256,500.75x = 148,138,195,212.56
  5. Step 5: Solve for x
    x = 148,138,195,212.56/256,500.75
  6. Step 6: Final answer
    x = 577,535.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.