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Finding the Third Proportional to 77,641 and 166,945

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Solution

The third proportional to 77,641 and 166,945 is: 358,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,641 : 166,945 = 166,945 : x
  2. Step 2: Convert to fraction form
    77,641/166,945 = 166,945/x
  3. Step 3: Cross multiply
    77,641x = 166,945 × 166,945
  4. Step 4: Simplify right side
    77,641x = 27,870,633,025
  5. Step 5: Solve for x
    x = 27,870,633,025/77,641
  6. Step 6: Final answer
    x = 358,967.98

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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.