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Finding the Third Proportional to 330,968 and 511,429

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Solution

The third proportional to 330,968 and 511,429 is: 790,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,968 : 511,429 = 511,429 : x
  2. Step 2: Convert to fraction form
    330,968/511,429 = 511,429/x
  3. Step 3: Cross multiply
    330,968x = 511,429 × 511,429
  4. Step 4: Simplify right side
    330,968x = 261,559,622,041
  5. Step 5: Solve for x
    x = 261,559,622,041/330,968
  6. Step 6: Final answer
    x = 790,286.74

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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.