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Finding the Third Proportional to 193,360 and 428,192

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Solution

The third proportional to 193,360 and 428,192 is: 948,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,360 : 428,192 = 428,192 : x
  2. Step 2: Convert to fraction form
    193,360/428,192 = 428,192/x
  3. Step 3: Cross multiply
    193,360x = 428,192 × 428,192
  4. Step 4: Simplify right side
    193,360x = 183,348,388,864
  5. Step 5: Solve for x
    x = 183,348,388,864/193,360
  6. Step 6: Final answer
    x = 948,222.95

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.