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Finding the Third Proportional to 121,450 and 261,044

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Solution

The third proportional to 121,450 and 261,044 is: 561,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,450 : 261,044 = 261,044 : x
  2. Step 2: Convert to fraction form
    121,450/261,044 = 261,044/x
  3. Step 3: Cross multiply
    121,450x = 261,044 × 261,044
  4. Step 4: Simplify right side
    121,450x = 68,143,969,936
  5. Step 5: Solve for x
    x = 68,143,969,936/121,450
  6. Step 6: Final answer
    x = 561,086.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.