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Finding the Third Proportional to 330,961.50 and 511,419.94

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Solution

The third proportional to 330,961.50 and 511,419.94 is: 790,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,961.50 : 511,419.94 = 511,419.94 : x
  2. Step 2: Convert to fraction form
    330,961.50/511,419.94 = 511,419.94/x
  3. Step 3: Cross multiply
    330,961.50x = 511,419.94 × 511,419.94
  4. Step 4: Simplify right side
    330,961.50x = 261,550,352,472.50
  5. Step 5: Solve for x
    x = 261,550,352,472.50/330,961.50
  6. Step 6: Final answer
    x = 790,274.25

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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.