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Finding the Third Proportional to 181,602 and 280,059

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Solution

The third proportional to 181,602 and 280,059 is: 431,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,602 : 280,059 = 280,059 : x
  2. Step 2: Convert to fraction form
    181,602/280,059 = 280,059/x
  3. Step 3: Cross multiply
    181,602x = 280,059 × 280,059
  4. Step 4: Simplify right side
    181,602x = 78,433,043,481
  5. Step 5: Solve for x
    x = 78,433,043,481/181,602
  6. Step 6: Final answer
    x = 431,895.26

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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.