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Finding the Third Proportional to 185,072 and 396,420

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Solution

The third proportional to 185,072 and 396,420 is: 849,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,072 : 396,420 = 396,420 : x
  2. Step 2: Convert to fraction form
    185,072/396,420 = 396,420/x
  3. Step 3: Cross multiply
    185,072x = 396,420 × 396,420
  4. Step 4: Simplify right side
    185,072x = 157,148,816,400
  5. Step 5: Solve for x
    x = 157,148,816,400/185,072
  6. Step 6: Final answer
    x = 849,122.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.