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Finding the Third Proportional to 198,360 and 407,277

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Solution

The third proportional to 198,360 and 407,277 is: 836,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,360 : 407,277 = 407,277 : x
  2. Step 2: Convert to fraction form
    198,360/407,277 = 407,277/x
  3. Step 3: Cross multiply
    198,360x = 407,277 × 407,277
  4. Step 4: Simplify right side
    198,360x = 165,874,554,729
  5. Step 5: Solve for x
    x = 165,874,554,729/198,360
  6. Step 6: Final answer
    x = 836,229.86

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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.