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Finding the Third Proportional to 309,529 and 656,306

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Solution

The third proportional to 309,529 and 656,306 is: 1,391,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,529 : 656,306 = 656,306 : x
  2. Step 2: Convert to fraction form
    309,529/656,306 = 656,306/x
  3. Step 3: Cross multiply
    309,529x = 656,306 × 656,306
  4. Step 4: Simplify right side
    309,529x = 430,737,565,636
  5. Step 5: Solve for x
    x = 430,737,565,636/309,529
  6. Step 6: Final answer
    x = 1,391,590.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.