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Finding the Third Proportional to 229,281 and 305,790

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Solution

The third proportional to 229,281 and 305,790 is: 407,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,281 : 305,790 = 305,790 : x
  2. Step 2: Convert to fraction form
    229,281/305,790 = 305,790/x
  3. Step 3: Cross multiply
    229,281x = 305,790 × 305,790
  4. Step 4: Simplify right side
    229,281x = 93,507,524,100
  5. Step 5: Solve for x
    x = 93,507,524,100/229,281
  6. Step 6: Final answer
    x = 407,829.36

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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.