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Finding the Third Proportional to 129,231 and 273,804

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Solution

The third proportional to 129,231 and 273,804 is: 580,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,231 : 273,804 = 273,804 : x
  2. Step 2: Convert to fraction form
    129,231/273,804 = 273,804/x
  3. Step 3: Cross multiply
    129,231x = 273,804 × 273,804
  4. Step 4: Simplify right side
    129,231x = 74,968,630,416
  5. Step 5: Solve for x
    x = 74,968,630,416/129,231
  6. Step 6: Final answer
    x = 580,113.37

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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.