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Finding the Third Proportional to 311,036 and 641,702

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Solution

The third proportional to 311,036 and 641,702 is: 1,323,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,036 : 641,702 = 641,702 : x
  2. Step 2: Convert to fraction form
    311,036/641,702 = 641,702/x
  3. Step 3: Cross multiply
    311,036x = 641,702 × 641,702
  4. Step 4: Simplify right side
    311,036x = 411,781,456,804
  5. Step 5: Solve for x
    x = 411,781,456,804/311,036
  6. Step 6: Final answer
    x = 1,323,902.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.