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Finding the Third Proportional to 256,053.94 and 395,631

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Solution

The third proportional to 256,053.94 and 395,631 is: 611,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,053.94 : 395,631 = 395,631 : x
  2. Step 2: Convert to fraction form
    256,053.94/395,631 = 395,631/x
  3. Step 3: Cross multiply
    256,053.94x = 395,631 × 395,631
  4. Step 4: Simplify right side
    256,053.94x = 156,523,888,161
  5. Step 5: Solve for x
    x = 156,523,888,161/256,053.94
  6. Step 6: Final answer
    x = 611,292.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.