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Finding the Third Proportional to 185,279 and 379,294

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Solution

The third proportional to 185,279 and 379,294 is: 776,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,279 : 379,294 = 379,294 : x
  2. Step 2: Convert to fraction form
    185,279/379,294 = 379,294/x
  3. Step 3: Cross multiply
    185,279x = 379,294 × 379,294
  4. Step 4: Simplify right side
    185,279x = 143,863,938,436
  5. Step 5: Solve for x
    x = 143,863,938,436/185,279
  6. Step 6: Final answer
    x = 776,471.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.