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Finding the Third Proportional to 330,961.75 and 511,420

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Solution

The third proportional to 330,961.75 and 511,420 is: 790,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,961.75 : 511,420 = 511,420 : x
  2. Step 2: Convert to fraction form
    330,961.75/511,420 = 511,420/x
  3. Step 3: Cross multiply
    330,961.75x = 511,420 × 511,420
  4. Step 4: Simplify right side
    330,961.75x = 261,550,416,400
  5. Step 5: Solve for x
    x = 261,550,416,400/330,961.75
  6. Step 6: Final answer
    x = 790,273.85

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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.