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Finding the Third Proportional to 129,415.22 and 265,105.41

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Solution

The third proportional to 129,415.22 and 265,105.41 is: 543,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,415.22 : 265,105.41 = 265,105.41 : x
  2. Step 2: Convert to fraction form
    129,415.22/265,105.41 = 265,105.41/x
  3. Step 3: Cross multiply
    129,415.22x = 265,105.41 × 265,105.41
  4. Step 4: Simplify right side
    129,415.22x = 70,280,876,422.98
  5. Step 5: Solve for x
    x = 70,280,876,422.98/129,415.22
  6. Step 6: Final answer
    x = 543,065.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.