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Finding the Third Proportional to 385,264 and 511,338

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Solution

The third proportional to 385,264 and 511,338 is: 678,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,264 : 511,338 = 511,338 : x
  2. Step 2: Convert to fraction form
    385,264/511,338 = 511,338/x
  3. Step 3: Cross multiply
    385,264x = 511,338 × 511,338
  4. Step 4: Simplify right side
    385,264x = 261,466,550,244
  5. Step 5: Solve for x
    x = 261,466,550,244/385,264
  6. Step 6: Final answer
    x = 678,668.52

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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.