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Finding the Third Proportional to 76,772 and 166,118

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Solution

The third proportional to 76,772 and 166,118 is: 359,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,772 : 166,118 = 166,118 : x
  2. Step 2: Convert to fraction form
    76,772/166,118 = 166,118/x
  3. Step 3: Cross multiply
    76,772x = 166,118 × 166,118
  4. Step 4: Simplify right side
    76,772x = 27,595,189,924
  5. Step 5: Solve for x
    x = 27,595,189,924/76,772
  6. Step 6: Final answer
    x = 359,443.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.