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Finding the Third Proportional to 380,856 and 811,059

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Solution

The third proportional to 380,856 and 811,059 is: 1,727,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,856 : 811,059 = 811,059 : x
  2. Step 2: Convert to fraction form
    380,856/811,059 = 811,059/x
  3. Step 3: Cross multiply
    380,856x = 811,059 × 811,059
  4. Step 4: Simplify right side
    380,856x = 657,816,701,481
  5. Step 5: Solve for x
    x = 657,816,701,481/380,856
  6. Step 6: Final answer
    x = 1,727,205.82

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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.