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Finding the Third Proportional to 385,247 and 511,180

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Solution

The third proportional to 385,247 and 511,180 is: 678,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,247 : 511,180 = 511,180 : x
  2. Step 2: Convert to fraction form
    385,247/511,180 = 511,180/x
  3. Step 3: Cross multiply
    385,247x = 511,180 × 511,180
  4. Step 4: Simplify right side
    385,247x = 261,304,992,400
  5. Step 5: Solve for x
    x = 261,304,992,400/385,247
  6. Step 6: Final answer
    x = 678,279.11

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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.