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Finding the Third Proportional to 385,272 and 511,211

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Solution

The third proportional to 385,272 and 511,211 is: 678,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,272 : 511,211 = 511,211 : x
  2. Step 2: Convert to fraction form
    385,272/511,211 = 511,211/x
  3. Step 3: Cross multiply
    385,272x = 511,211 × 511,211
  4. Step 4: Simplify right side
    385,272x = 261,336,686,521
  5. Step 5: Solve for x
    x = 261,336,686,521/385,272
  6. Step 6: Final answer
    x = 678,317.36

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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.