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Finding the Third Proportional to 256,692 and 395,062

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Solution

The third proportional to 256,692 and 395,062 is: 608,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,692 : 395,062 = 395,062 : x
  2. Step 2: Convert to fraction form
    256,692/395,062 = 395,062/x
  3. Step 3: Cross multiply
    256,692x = 395,062 × 395,062
  4. Step 4: Simplify right side
    256,692x = 156,073,983,844
  5. Step 5: Solve for x
    x = 156,073,983,844/256,692
  6. Step 6: Final answer
    x = 608,020.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.