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Finding the Third Proportional to 351,785.57 and 768,087.51

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Solution

The third proportional to 351,785.57 and 768,087.51 is: 1,677,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,785.57 : 768,087.51 = 768,087.51 : x
  2. Step 2: Convert to fraction form
    351,785.57/768,087.51 = 768,087.51/x
  3. Step 3: Cross multiply
    351,785.57x = 768,087.51 × 768,087.51
  4. Step 4: Simplify right side
    351,785.57x = 589,958,420,126.52
  5. Step 5: Solve for x
    x = 589,958,420,126.52/351,785.57
  6. Step 6: Final answer
    x = 1,677,039.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.