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Finding the Third Proportional to 185,439 and 379,689

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Solution

The third proportional to 185,439 and 379,689 is: 777,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,439 : 379,689 = 379,689 : x
  2. Step 2: Convert to fraction form
    185,439/379,689 = 379,689/x
  3. Step 3: Cross multiply
    185,439x = 379,689 × 379,689
  4. Step 4: Simplify right side
    185,439x = 144,163,736,721
  5. Step 5: Solve for x
    x = 144,163,736,721/185,439
  6. Step 6: Final answer
    x = 777,418.65

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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.