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Finding the Third Proportional to 181,992 and 280,764

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Solution

The third proportional to 181,992 and 280,764 is: 433,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,992 : 280,764 = 280,764 : x
  2. Step 2: Convert to fraction form
    181,992/280,764 = 280,764/x
  3. Step 3: Cross multiply
    181,992x = 280,764 × 280,764
  4. Step 4: Simplify right side
    181,992x = 78,828,423,696
  5. Step 5: Solve for x
    x = 78,828,423,696/181,992
  6. Step 6: Final answer
    x = 433,142.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.