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Finding the Third Proportional to 311,908 and 656,410

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Solution

The third proportional to 311,908 and 656,410 is: 1,381,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,908 : 656,410 = 656,410 : x
  2. Step 2: Convert to fraction form
    311,908/656,410 = 656,410/x
  3. Step 3: Cross multiply
    311,908x = 656,410 × 656,410
  4. Step 4: Simplify right side
    311,908x = 430,874,088,100
  5. Step 5: Solve for x
    x = 430,874,088,100/311,908
  6. Step 6: Final answer
    x = 1,381,414.03

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.