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Finding the Third Proportional to 400,664 and 816,172

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Solution

The third proportional to 400,664 and 816,172 is: 1,662,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,664 : 816,172 = 816,172 : x
  2. Step 2: Convert to fraction form
    400,664/816,172 = 816,172/x
  3. Step 3: Cross multiply
    400,664x = 816,172 × 816,172
  4. Step 4: Simplify right side
    400,664x = 666,136,733,584
  5. Step 5: Solve for x
    x = 666,136,733,584/400,664
  6. Step 6: Final answer
    x = 1,662,581.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.