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Finding the Third Proportional to 77,709 and 166,744

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Solution

The third proportional to 77,709 and 166,744 is: 357,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709 : 166,744 = 166,744 : x
  2. Step 2: Convert to fraction form
    77,709/166,744 = 166,744/x
  3. Step 3: Cross multiply
    77,709x = 166,744 × 166,744
  4. Step 4: Simplify right side
    77,709x = 27,803,561,536
  5. Step 5: Solve for x
    x = 27,803,561,536/77,709
  6. Step 6: Final answer
    x = 357,790.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.