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Finding the Third Proportional to 330,696 and 511,120

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Solution

The third proportional to 330,696 and 511,120 is: 789,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,696 : 511,120 = 511,120 : x
  2. Step 2: Convert to fraction form
    330,696/511,120 = 511,120/x
  3. Step 3: Cross multiply
    330,696x = 511,120 × 511,120
  4. Step 4: Simplify right side
    330,696x = 261,243,654,400
  5. Step 5: Solve for x
    x = 261,243,654,400/330,696
  6. Step 6: Final answer
    x = 789,981.30

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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.