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Finding the Third Proportional to 238,980 and 324,756

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Solution

The third proportional to 238,980 and 324,756 is: 441,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,980 : 324,756 = 324,756 : x
  2. Step 2: Convert to fraction form
    238,980/324,756 = 324,756/x
  3. Step 3: Cross multiply
    238,980x = 324,756 × 324,756
  4. Step 4: Simplify right side
    238,980x = 105,466,459,536
  5. Step 5: Solve for x
    x = 105,466,459,536/238,980
  6. Step 6: Final answer
    x = 441,319.19

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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.