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Finding the Third Proportional to 512,385.75 and 765,756

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Solution

The third proportional to 512,385.75 and 765,756 is: 1,144,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,385.75 : 765,756 = 765,756 : x
  2. Step 2: Convert to fraction form
    512,385.75/765,756 = 765,756/x
  3. Step 3: Cross multiply
    512,385.75x = 765,756 × 765,756
  4. Step 4: Simplify right side
    512,385.75x = 586,382,251,536
  5. Step 5: Solve for x
    x = 586,382,251,536/512,385.75
  6. Step 6: Final answer
    x = 1,144,415.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.