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Finding the Third Proportional to 129,228 and 273,798

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Solution

The third proportional to 129,228 and 273,798 is: 580,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,228 : 273,798 = 273,798 : x
  2. Step 2: Convert to fraction form
    129,228/273,798 = 273,798/x
  3. Step 3: Cross multiply
    129,228x = 273,798 × 273,798
  4. Step 4: Simplify right side
    129,228x = 74,965,344,804
  5. Step 5: Solve for x
    x = 74,965,344,804/129,228
  6. Step 6: Final answer
    x = 580,101.41

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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.