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Finding the Third Proportional to 218,912.63 and 279,723.38

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Solution

The third proportional to 218,912.63 and 279,723.38 is: 357,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,912.63 : 279,723.38 = 279,723.38 : x
  2. Step 2: Convert to fraction form
    218,912.63/279,723.38 = 279,723.38/x
  3. Step 3: Cross multiply
    218,912.63x = 279,723.38 × 279,723.38
  4. Step 4: Simplify right side
    218,912.63x = 78,245,166,521.39
  5. Step 5: Solve for x
    x = 78,245,166,521.39/218,912.63
  6. Step 6: Final answer
    x = 357,426.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.