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Finding the Third Proportional to 311,915 and 656,425

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Solution

The third proportional to 311,915 and 656,425 is: 1,381,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,915 : 656,425 = 656,425 : x
  2. Step 2: Convert to fraction form
    311,915/656,425 = 656,425/x
  3. Step 3: Cross multiply
    311,915x = 656,425 × 656,425
  4. Step 4: Simplify right side
    311,915x = 430,893,780,625
  5. Step 5: Solve for x
    x = 430,893,780,625/311,915
  6. Step 6: Final answer
    x = 1,381,446.17

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Why These Related Problems?

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