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Finding the Third Proportional to 380,162 and 816,484

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Solution

The third proportional to 380,162 and 816,484 is: 1,753,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,162 : 816,484 = 816,484 : x
  2. Step 2: Convert to fraction form
    380,162/816,484 = 816,484/x
  3. Step 3: Cross multiply
    380,162x = 816,484 × 816,484
  4. Step 4: Simplify right side
    380,162x = 666,646,122,256
  5. Step 5: Solve for x
    x = 666,646,122,256/380,162
  6. Step 6: Final answer
    x = 1,753,584.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.