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Finding the Third Proportional to 229,279 and 305,787

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Solution

The third proportional to 229,279 and 305,787 is: 407,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,279 : 305,787 = 305,787 : x
  2. Step 2: Convert to fraction form
    229,279/305,787 = 305,787/x
  3. Step 3: Cross multiply
    229,279x = 305,787 × 305,787
  4. Step 4: Simplify right side
    229,279x = 93,505,689,369
  5. Step 5: Solve for x
    x = 93,505,689,369/229,279
  6. Step 6: Final answer
    x = 407,824.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.