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Finding the Third Proportional to 78,553 and 166,205

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Solution

The third proportional to 78,553 and 166,205 is: 351,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,553 : 166,205 = 166,205 : x
  2. Step 2: Convert to fraction form
    78,553/166,205 = 166,205/x
  3. Step 3: Cross multiply
    78,553x = 166,205 × 166,205
  4. Step 4: Simplify right side
    78,553x = 27,624,102,025
  5. Step 5: Solve for x
    x = 27,624,102,025/78,553
  6. Step 6: Final answer
    x = 351,661.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.