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Finding the Third Proportional to 181,928 and 280,668

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Solution

The third proportional to 181,928 and 280,668 is: 432,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,928 : 280,668 = 280,668 : x
  2. Step 2: Convert to fraction form
    181,928/280,668 = 280,668/x
  3. Step 3: Cross multiply
    181,928x = 280,668 × 280,668
  4. Step 4: Simplify right side
    181,928x = 78,774,526,224
  5. Step 5: Solve for x
    x = 78,774,526,224/181,928
  6. Step 6: Final answer
    x = 432,998.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.