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Finding the Third Proportional to 121,576 and 251,144

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Solution

The third proportional to 121,576 and 251,144 is: 518,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,576 : 251,144 = 251,144 : x
  2. Step 2: Convert to fraction form
    121,576/251,144 = 251,144/x
  3. Step 3: Cross multiply
    121,576x = 251,144 × 251,144
  4. Step 4: Simplify right side
    121,576x = 63,073,308,736
  5. Step 5: Solve for x
    x = 63,073,308,736/121,576
  6. Step 6: Final answer
    x = 518,797.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.