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Finding the Third Proportional to 251,760 and 515,184

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Solution

The third proportional to 251,760 and 515,184 is: 1,054,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,760 : 515,184 = 515,184 : x
  2. Step 2: Convert to fraction form
    251,760/515,184 = 515,184/x
  3. Step 3: Cross multiply
    251,760x = 515,184 × 515,184
  4. Step 4: Simplify right side
    251,760x = 265,414,553,856
  5. Step 5: Solve for x
    x = 265,414,553,856/251,760
  6. Step 6: Final answer
    x = 1,054,236.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.