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Finding the Third Proportional to 256,364.37 and 558,858.23

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Solution

The third proportional to 256,364.37 and 558,858.23 is: 1,218,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,364.37 : 558,858.23 = 558,858.23 : x
  2. Step 2: Convert to fraction form
    256,364.37/558,858.23 = 558,858.23/x
  3. Step 3: Cross multiply
    256,364.37x = 558,858.23 × 558,858.23
  4. Step 4: Simplify right side
    256,364.37x = 312,322,526,128.74
  5. Step 5: Solve for x
    x = 312,322,526,128.74/256,364.37
  6. Step 6: Final answer
    x = 1,218,275.88

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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.