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Finding the Third Proportional to 76,329 and 154,727

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Solution

The third proportional to 76,329 and 154,727 is: 313,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,329 : 154,727 = 154,727 : x
  2. Step 2: Convert to fraction form
    76,329/154,727 = 154,727/x
  3. Step 3: Cross multiply
    76,329x = 154,727 × 154,727
  4. Step 4: Simplify right side
    76,329x = 23,940,444,529
  5. Step 5: Solve for x
    x = 23,940,444,529/76,329
  6. Step 6: Final answer
    x = 313,648.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.