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Finding the Third Proportional to 198,414 and 299,410

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Solution

The third proportional to 198,414 and 299,410 is: 451,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,414 : 299,410 = 299,410 : x
  2. Step 2: Convert to fraction form
    198,414/299,410 = 299,410/x
  3. Step 3: Cross multiply
    198,414x = 299,410 × 299,410
  4. Step 4: Simplify right side
    198,414x = 89,646,348,100
  5. Step 5: Solve for x
    x = 89,646,348,100/198,414
  6. Step 6: Final answer
    x = 451,814.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.