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Finding the Third Proportional to 520,172 and 816,198

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Solution

The third proportional to 520,172 and 816,198 is: 1,280,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,172 : 816,198 = 816,198 : x
  2. Step 2: Convert to fraction form
    520,172/816,198 = 816,198/x
  3. Step 3: Cross multiply
    520,172x = 816,198 × 816,198
  4. Step 4: Simplify right side
    520,172x = 666,179,175,204
  5. Step 5: Solve for x
    x = 666,179,175,204/520,172
  6. Step 6: Final answer
    x = 1,280,690.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.