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Finding the Third Proportional to 181,997 and 280,587

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Solution

The third proportional to 181,997 and 280,587 is: 432,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,997 : 280,587 = 280,587 : x
  2. Step 2: Convert to fraction form
    181,997/280,587 = 280,587/x
  3. Step 3: Cross multiply
    181,997x = 280,587 × 280,587
  4. Step 4: Simplify right side
    181,997x = 78,729,064,569
  5. Step 5: Solve for x
    x = 78,729,064,569/181,997
  6. Step 6: Final answer
    x = 432,584.41

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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.