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Finding the Third Proportional to 75,333 and 102,311

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Solution

The third proportional to 75,333 and 102,311 is: 138,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,333 : 102,311 = 102,311 : x
  2. Step 2: Convert to fraction form
    75,333/102,311 = 102,311/x
  3. Step 3: Cross multiply
    75,333x = 102,311 × 102,311
  4. Step 4: Simplify right side
    75,333x = 10,467,540,721
  5. Step 5: Solve for x
    x = 10,467,540,721/75,333
  6. Step 6: Final answer
    x = 138,950.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.