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Finding the Third Proportional to 179,540 and 388,796

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Solution

The third proportional to 179,540 and 388,796 is: 841,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,540 : 388,796 = 388,796 : x
  2. Step 2: Convert to fraction form
    179,540/388,796 = 388,796/x
  3. Step 3: Cross multiply
    179,540x = 388,796 × 388,796
  4. Step 4: Simplify right side
    179,540x = 151,162,329,616
  5. Step 5: Solve for x
    x = 151,162,329,616/179,540
  6. Step 6: Final answer
    x = 841,942.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.