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Finding the Third Proportional to 27,009 and 42,273

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Solution

The third proportional to 27,009 and 42,273 is: 66,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009 : 42,273 = 42,273 : x
  2. Step 2: Convert to fraction form
    27,009/42,273 = 42,273/x
  3. Step 3: Cross multiply
    27,009x = 42,273 × 42,273
  4. Step 4: Simplify right side
    27,009x = 1,787,006,529
  5. Step 5: Solve for x
    x = 1,787,006,529/27,009
  6. Step 6: Final answer
    x = 66,163.37

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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.