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Finding the Third Proportional to 256,063.50 and 395,644.50

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Solution

The third proportional to 256,063.50 and 395,644.50 is: 611,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,063.50 : 395,644.50 = 395,644.50 : x
  2. Step 2: Convert to fraction form
    256,063.50/395,644.50 = 395,644.50/x
  3. Step 3: Cross multiply
    256,063.50x = 395,644.50 × 395,644.50
  4. Step 4: Simplify right side
    256,063.50x = 156,534,570,380.25
  5. Step 5: Solve for x
    x = 156,534,570,380.25/256,063.50
  6. Step 6: Final answer
    x = 611,311.53

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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.