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Finding the Third Proportional to 512,104 and 775,230

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Solution

The third proportional to 512,104 and 775,230 is: 1,173,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,104 : 775,230 = 775,230 : x
  2. Step 2: Convert to fraction form
    512,104/775,230 = 775,230/x
  3. Step 3: Cross multiply
    512,104x = 775,230 × 775,230
  4. Step 4: Simplify right side
    512,104x = 600,981,552,900
  5. Step 5: Solve for x
    x = 600,981,552,900/512,104
  6. Step 6: Final answer
    x = 1,173,553.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.