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Finding the Third Proportional to 129,804 and 281,640

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Solution

The third proportional to 129,804 and 281,640 is: 611,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,804 : 281,640 = 281,640 : x
  2. Step 2: Convert to fraction form
    129,804/281,640 = 281,640/x
  3. Step 3: Cross multiply
    129,804x = 281,640 × 281,640
  4. Step 4: Simplify right side
    129,804x = 79,321,089,600
  5. Step 5: Solve for x
    x = 79,321,089,600/129,804
  6. Step 6: Final answer
    x = 611,083.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.