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Finding the Third Proportional to 179,330 and 388,348

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Solution

The third proportional to 179,330 and 388,348 is: 840,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,330 : 388,348 = 388,348 : x
  2. Step 2: Convert to fraction form
    179,330/388,348 = 388,348/x
  3. Step 3: Cross multiply
    179,330x = 388,348 × 388,348
  4. Step 4: Simplify right side
    179,330x = 150,814,169,104
  5. Step 5: Solve for x
    x = 150,814,169,104/179,330
  6. Step 6: Final answer
    x = 840,986.83

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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.