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Finding the Third Proportional to 385,280 and 511,227

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Solution

The third proportional to 385,280 and 511,227 is: 678,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,280 : 511,227 = 511,227 : x
  2. Step 2: Convert to fraction form
    385,280/511,227 = 511,227/x
  3. Step 3: Cross multiply
    385,280x = 511,227 × 511,227
  4. Step 4: Simplify right side
    385,280x = 261,353,045,529
  5. Step 5: Solve for x
    x = 261,353,045,529/385,280
  6. Step 6: Final answer
    x = 678,345.74

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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.