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Finding the Third Proportional to 129,219 and 273,781

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Solution

The third proportional to 129,219 and 273,781 is: 580,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,219 : 273,781 = 273,781 : x
  2. Step 2: Convert to fraction form
    129,219/273,781 = 273,781/x
  3. Step 3: Cross multiply
    129,219x = 273,781 × 273,781
  4. Step 4: Simplify right side
    129,219x = 74,956,035,961
  5. Step 5: Solve for x
    x = 74,956,035,961/129,219
  6. Step 6: Final answer
    x = 580,069.77

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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.