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Finding the Third Proportional to 327,169.97 and 684,137.81

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Solution

The third proportional to 327,169.97 and 684,137.81 is: 1,430,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,169.97 : 684,137.81 = 684,137.81 : x
  2. Step 2: Convert to fraction form
    327,169.97/684,137.81 = 684,137.81/x
  3. Step 3: Cross multiply
    327,169.97x = 684,137.81 × 684,137.81
  4. Step 4: Simplify right side
    327,169.97x = 468,044,546,492.29
  5. Step 5: Solve for x
    x = 468,044,546,492.29/327,169.97
  6. Step 6: Final answer
    x = 1,430,585.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.