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Finding the Third Proportional to 322,170 and 697,436

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Solution

The third proportional to 322,170 and 697,436 is: 1,509,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,170 : 697,436 = 697,436 : x
  2. Step 2: Convert to fraction form
    322,170/697,436 = 697,436/x
  3. Step 3: Cross multiply
    322,170x = 697,436 × 697,436
  4. Step 4: Simplify right side
    322,170x = 486,416,974,096
  5. Step 5: Solve for x
    x = 486,416,974,096/322,170
  6. Step 6: Final answer
    x = 1,509,814.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.