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Finding the Third Proportional to 181,786 and 388,311

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Solution

The third proportional to 181,786 and 388,311 is: 829,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,786 : 388,311 = 388,311 : x
  2. Step 2: Convert to fraction form
    181,786/388,311 = 388,311/x
  3. Step 3: Cross multiply
    181,786x = 388,311 × 388,311
  4. Step 4: Simplify right side
    181,786x = 150,785,432,721
  5. Step 5: Solve for x
    x = 150,785,432,721/181,786
  6. Step 6: Final answer
    x = 829,466.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.