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Finding the Third Proportional to 385,272 and 511,353

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Solution

The third proportional to 385,272 and 511,353 is: 678,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,272 : 511,353 = 511,353 : x
  2. Step 2: Convert to fraction form
    385,272/511,353 = 511,353/x
  3. Step 3: Cross multiply
    385,272x = 511,353 × 511,353
  4. Step 4: Simplify right side
    385,272x = 261,481,890,609
  5. Step 5: Solve for x
    x = 261,481,890,609/385,272
  6. Step 6: Final answer
    x = 678,694.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.