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Finding the Third Proportional to 181,989 and 280,575

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Solution

The third proportional to 181,989 and 280,575 is: 432,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,989 : 280,575 = 280,575 : x
  2. Step 2: Convert to fraction form
    181,989/280,575 = 280,575/x
  3. Step 3: Cross multiply
    181,989x = 280,575 × 280,575
  4. Step 4: Simplify right side
    181,989x = 78,722,330,625
  5. Step 5: Solve for x
    x = 78,722,330,625/181,989
  6. Step 6: Final answer
    x = 432,566.42

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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.