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Finding the Third Proportional to 300,190 and 456,474

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Solution

The third proportional to 300,190 and 456,474 is: 694,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,190 : 456,474 = 456,474 : x
  2. Step 2: Convert to fraction form
    300,190/456,474 = 456,474/x
  3. Step 3: Cross multiply
    300,190x = 456,474 × 456,474
  4. Step 4: Simplify right side
    300,190x = 208,368,512,676
  5. Step 5: Solve for x
    x = 208,368,512,676/300,190
  6. Step 6: Final answer
    x = 694,122.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.