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Finding the Third Proportional to 129,005 and 273,683

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Solution

The third proportional to 129,005 and 273,683 is: 580,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,005 : 273,683 = 273,683 : x
  2. Step 2: Convert to fraction form
    129,005/273,683 = 273,683/x
  3. Step 3: Cross multiply
    129,005x = 273,683 × 273,683
  4. Step 4: Simplify right side
    129,005x = 74,902,384,489
  5. Step 5: Solve for x
    x = 74,902,384,489/129,005
  6. Step 6: Final answer
    x = 580,616.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.