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Finding the Third Proportional to 68,226 and 146,820

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Solution

The third proportional to 68,226 and 146,820 is: 315,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,226 : 146,820 = 146,820 : x
  2. Step 2: Convert to fraction form
    68,226/146,820 = 146,820/x
  3. Step 3: Cross multiply
    68,226x = 146,820 × 146,820
  4. Step 4: Simplify right side
    68,226x = 21,556,112,400
  5. Step 5: Solve for x
    x = 21,556,112,400/68,226
  6. Step 6: Final answer
    x = 315,951.58

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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.