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Finding the Third Proportional to 67,108 and 146,276

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Solution

The third proportional to 67,108 and 146,276 is: 318,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,108 : 146,276 = 146,276 : x
  2. Step 2: Convert to fraction form
    67,108/146,276 = 146,276/x
  3. Step 3: Cross multiply
    67,108x = 146,276 × 146,276
  4. Step 4: Simplify right side
    67,108x = 21,396,668,176
  5. Step 5: Solve for x
    x = 21,396,668,176/67,108
  6. Step 6: Final answer
    x = 318,839.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.