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Finding the Third Proportional to 181,344 and 392,820

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Solution

The third proportional to 181,344 and 392,820 is: 850,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,344 : 392,820 = 392,820 : x
  2. Step 2: Convert to fraction form
    181,344/392,820 = 392,820/x
  3. Step 3: Cross multiply
    181,344x = 392,820 × 392,820
  4. Step 4: Simplify right side
    181,344x = 154,307,552,400
  5. Step 5: Solve for x
    x = 154,307,552,400/181,344
  6. Step 6: Final answer
    x = 850,910.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.