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Finding the Third Proportional to 256,056.75 and 395,634.38

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Solution

The third proportional to 256,056.75 and 395,634.38 is: 611,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,056.75 : 395,634.38 = 395,634.38 : x
  2. Step 2: Convert to fraction form
    256,056.75/395,634.38 = 395,634.38/x
  3. Step 3: Cross multiply
    256,056.75x = 395,634.38 × 395,634.38
  4. Step 4: Simplify right side
    256,056.75x = 156,526,558,681.64
  5. Step 5: Solve for x
    x = 156,526,558,681.64/256,056.75
  6. Step 6: Final answer
    x = 611,296.36

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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.