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Finding the Third Proportional to 321,450 and 437,829

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Solution

The third proportional to 321,450 and 437,829 is: 596,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,450 : 437,829 = 437,829 : x
  2. Step 2: Convert to fraction form
    321,450/437,829 = 437,829/x
  3. Step 3: Cross multiply
    321,450x = 437,829 × 437,829
  4. Step 4: Simplify right side
    321,450x = 191,694,233,241
  5. Step 5: Solve for x
    x = 191,694,233,241/321,450
  6. Step 6: Final answer
    x = 596,342.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.