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Finding the Third Proportional to 279,750 and 421,956

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Solution

The third proportional to 279,750 and 421,956 is: 636,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,750 : 421,956 = 421,956 : x
  2. Step 2: Convert to fraction form
    279,750/421,956 = 421,956/x
  3. Step 3: Cross multiply
    279,750x = 421,956 × 421,956
  4. Step 4: Simplify right side
    279,750x = 178,046,865,936
  5. Step 5: Solve for x
    x = 178,046,865,936/279,750
  6. Step 6: Final answer
    x = 636,449.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.