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Finding the Third Proportional to 512,129 and 803,267

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Solution

The third proportional to 512,129 and 803,267 is: 1,259,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,129 : 803,267 = 803,267 : x
  2. Step 2: Convert to fraction form
    512,129/803,267 = 803,267/x
  3. Step 3: Cross multiply
    512,129x = 803,267 × 803,267
  4. Step 4: Simplify right side
    512,129x = 645,237,873,289
  5. Step 5: Solve for x
    x = 645,237,873,289/512,129
  6. Step 6: Final answer
    x = 1,259,912.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.