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Finding the Third Proportional to 229,286 and 305,797

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Solution

The third proportional to 229,286 and 305,797 is: 407,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,286 : 305,797 = 305,797 : x
  2. Step 2: Convert to fraction form
    229,286/305,797 = 305,797/x
  3. Step 3: Cross multiply
    229,286x = 305,797 × 305,797
  4. Step 4: Simplify right side
    229,286x = 93,511,805,209
  5. Step 5: Solve for x
    x = 93,511,805,209/229,286
  6. Step 6: Final answer
    x = 407,839.14

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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.