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Finding the Third Proportional to 129,017 and 273,697

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Solution

The third proportional to 129,017 and 273,697 is: 580,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,017 : 273,697 = 273,697 : x
  2. Step 2: Convert to fraction form
    129,017/273,697 = 273,697/x
  3. Step 3: Cross multiply
    129,017x = 273,697 × 273,697
  4. Step 4: Simplify right side
    129,017x = 74,910,047,809
  5. Step 5: Solve for x
    x = 74,910,047,809/129,017
  6. Step 6: Final answer
    x = 580,621.53

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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.