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Finding the Third Proportional to 77,708 and 166,742

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Solution

The third proportional to 77,708 and 166,742 is: 357,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,708 : 166,742 = 166,742 : x
  2. Step 2: Convert to fraction form
    77,708/166,742 = 166,742/x
  3. Step 3: Cross multiply
    77,708x = 166,742 × 166,742
  4. Step 4: Simplify right side
    77,708x = 27,802,894,564
  5. Step 5: Solve for x
    x = 27,802,894,564/77,708
  6. Step 6: Final answer
    x = 357,786.77

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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.