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Finding the Third Proportional to 129,025.69 and 303,570.84

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Solution

The third proportional to 129,025.69 and 303,570.84 is: 714,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,025.69 : 303,570.84 = 303,570.84 : x
  2. Step 2: Convert to fraction form
    129,025.69/303,570.84 = 303,570.84/x
  3. Step 3: Cross multiply
    129,025.69x = 303,570.84 × 303,570.84
  4. Step 4: Simplify right side
    129,025.69x = 92,155,257,175.09
  5. Step 5: Solve for x
    x = 92,155,257,175.09/129,025.69
  6. Step 6: Final answer
    x = 714,239.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.