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Finding the Third Proportional to 27,703 and 66,789

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Solution

The third proportional to 27,703 and 66,789 is: 161,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,703 : 66,789 = 66,789 : x
  2. Step 2: Convert to fraction form
    27,703/66,789 = 66,789/x
  3. Step 3: Cross multiply
    27,703x = 66,789 × 66,789
  4. Step 4: Simplify right side
    27,703x = 4,460,770,521
  5. Step 5: Solve for x
    x = 4,460,770,521/27,703
  6. Step 6: Final answer
    x = 161,021.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.