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Finding the Third Proportional to 279,736.88 and 421,940.81

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Solution

The third proportional to 279,736.88 and 421,940.81 is: 636,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,736.88 : 421,940.81 = 421,940.81 : x
  2. Step 2: Convert to fraction form
    279,736.88/421,940.81 = 421,940.81/x
  3. Step 3: Cross multiply
    279,736.88x = 421,940.81 × 421,940.81
  4. Step 4: Simplify right side
    279,736.88x = 178,034,049,253.16
  5. Step 5: Solve for x
    x = 178,034,049,253.16/279,736.88
  6. Step 6: Final answer
    x = 636,433.97

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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.