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Finding the Third Proportional to 256,215.50 and 407,133

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Solution

The third proportional to 256,215.50 and 407,133 is: 646,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,215.50 : 407,133 = 407,133 : x
  2. Step 2: Convert to fraction form
    256,215.50/407,133 = 407,133/x
  3. Step 3: Cross multiply
    256,215.50x = 407,133 × 407,133
  4. Step 4: Simplify right side
    256,215.50x = 165,757,279,689
  5. Step 5: Solve for x
    x = 165,757,279,689/256,215.50
  6. Step 6: Final answer
    x = 646,944.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.