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Finding the Third Proportional to 256,219.50 and 355,269

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Solution

The third proportional to 256,219.50 and 355,269 is: 492,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,219.50 : 355,269 = 355,269 : x
  2. Step 2: Convert to fraction form
    256,219.50/355,269 = 355,269/x
  3. Step 3: Cross multiply
    256,219.50x = 355,269 × 355,269
  4. Step 4: Simplify right side
    256,219.50x = 126,216,062,361
  5. Step 5: Solve for x
    x = 126,216,062,361/256,219.50
  6. Step 6: Final answer
    x = 492,609.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.