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Finding the Third Proportional to 256,855.50 and 410,190.75

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Solution

The third proportional to 256,855.50 and 410,190.75 is: 655,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,855.50 : 410,190.75 = 410,190.75 : x
  2. Step 2: Convert to fraction form
    256,855.50/410,190.75 = 410,190.75/x
  3. Step 3: Cross multiply
    256,855.50x = 410,190.75 × 410,190.75
  4. Step 4: Simplify right side
    256,855.50x = 168,256,451,385.56
  5. Step 5: Solve for x
    x = 168,256,451,385.56/256,855.50
  6. Step 6: Final answer
    x = 655,062.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.