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Finding the Third Proportional to 181,820 and 395,685

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Solution

The third proportional to 181,820 and 395,685 is: 861,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,820 : 395,685 = 395,685 : x
  2. Step 2: Convert to fraction form
    181,820/395,685 = 395,685/x
  3. Step 3: Cross multiply
    181,820x = 395,685 × 395,685
  4. Step 4: Simplify right side
    181,820x = 156,566,619,225
  5. Step 5: Solve for x
    x = 156,566,619,225/181,820
  6. Step 6: Final answer
    x = 861,107.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.