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Finding the Third Proportional to 385,138 and 511,156

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Solution

The third proportional to 385,138 and 511,156 is: 678,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,138 : 511,156 = 511,156 : x
  2. Step 2: Convert to fraction form
    385,138/511,156 = 511,156/x
  3. Step 3: Cross multiply
    385,138x = 511,156 × 511,156
  4. Step 4: Simplify right side
    385,138x = 261,280,456,336
  5. Step 5: Solve for x
    x = 261,280,456,336/385,138
  6. Step 6: Final answer
    x = 678,407.37

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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.