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Finding the Third Proportional to 78,255 and 166,230

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Solution

The third proportional to 78,255 and 166,230 is: 353,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,255 : 166,230 = 166,230 : x
  2. Step 2: Convert to fraction form
    78,255/166,230 = 166,230/x
  3. Step 3: Cross multiply
    78,255x = 166,230 × 166,230
  4. Step 4: Simplify right side
    78,255x = 27,632,412,900
  5. Step 5: Solve for x
    x = 27,632,412,900/78,255
  6. Step 6: Final answer
    x = 353,107.31

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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.