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Finding the Third Proportional to 311,902 and 656,394

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Solution

The third proportional to 311,902 and 656,394 is: 1,381,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,902 : 656,394 = 656,394 : x
  2. Step 2: Convert to fraction form
    311,902/656,394 = 656,394/x
  3. Step 3: Cross multiply
    311,902x = 656,394 × 656,394
  4. Step 4: Simplify right side
    311,902x = 430,853,083,236
  5. Step 5: Solve for x
    x = 430,853,083,236/311,902
  6. Step 6: Final answer
    x = 1,381,373.26

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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.