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Finding the Third Proportional to 380,208 and 816,576

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Solution

The third proportional to 380,208 and 816,576 is: 1,753,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,208 : 816,576 = 816,576 : x
  2. Step 2: Convert to fraction form
    380,208/816,576 = 816,576/x
  3. Step 3: Cross multiply
    380,208x = 816,576 × 816,576
  4. Step 4: Simplify right side
    380,208x = 666,796,363,776
  5. Step 5: Solve for x
    x = 666,796,363,776/380,208
  6. Step 6: Final answer
    x = 1,753,767.32

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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.