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Finding the Third Proportional to 129,122.25 and 281,109

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Solution

The third proportional to 129,122.25 and 281,109 is: 611,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,122.25 : 281,109 = 281,109 : x
  2. Step 2: Convert to fraction form
    129,122.25/281,109 = 281,109/x
  3. Step 3: Cross multiply
    129,122.25x = 281,109 × 281,109
  4. Step 4: Simplify right side
    129,122.25x = 79,022,269,881
  5. Step 5: Solve for x
    x = 79,022,269,881/129,122.25
  6. Step 6: Final answer
    x = 611,995.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.