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Finding the Third Proportional to 181,200 and 261,000

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Solution

The third proportional to 181,200 and 261,000 is: 375,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,200 : 261,000 = 261,000 : x
  2. Step 2: Convert to fraction form
    181,200/261,000 = 261,000/x
  3. Step 3: Cross multiply
    181,200x = 261,000 × 261,000
  4. Step 4: Simplify right side
    181,200x = 68,121,000,000
  5. Step 5: Solve for x
    x = 68,121,000,000/181,200
  6. Step 6: Final answer
    x = 375,943.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.