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Finding the Third Proportional to 181,560 and 279,997

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Solution

The third proportional to 181,560 and 279,997 is: 431,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,560 : 279,997 = 279,997 : x
  2. Step 2: Convert to fraction form
    181,560/279,997 = 279,997/x
  3. Step 3: Cross multiply
    181,560x = 279,997 × 279,997
  4. Step 4: Simplify right side
    181,560x = 78,398,320,009
  5. Step 5: Solve for x
    x = 78,398,320,009/181,560
  6. Step 6: Final answer
    x = 431,803.92

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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.