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Finding the Third Proportional to 179,120 and 279,575

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Solution

The third proportional to 179,120 and 279,575 is: 436,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,120 : 279,575 = 279,575 : x
  2. Step 2: Convert to fraction form
    179,120/279,575 = 279,575/x
  3. Step 3: Cross multiply
    179,120x = 279,575 × 279,575
  4. Step 4: Simplify right side
    179,120x = 78,162,180,625
  5. Step 5: Solve for x
    x = 78,162,180,625/179,120
  6. Step 6: Final answer
    x = 436,367.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.