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Finding the Third Proportional to 380,855 and 811,057

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Solution

The third proportional to 380,855 and 811,057 is: 1,727,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,855 : 811,057 = 811,057 : x
  2. Step 2: Convert to fraction form
    380,855/811,057 = 811,057/x
  3. Step 3: Cross multiply
    380,855x = 811,057 × 811,057
  4. Step 4: Simplify right side
    380,855x = 657,813,457,249
  5. Step 5: Solve for x
    x = 657,813,457,249/380,855
  6. Step 6: Final answer
    x = 1,727,201.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.