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Finding the Third Proportional to 68,330 and 146,980

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Solution

The third proportional to 68,330 and 146,980 is: 316,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,330 : 146,980 = 146,980 : x
  2. Step 2: Convert to fraction form
    68,330/146,980 = 146,980/x
  3. Step 3: Cross multiply
    68,330x = 146,980 × 146,980
  4. Step 4: Simplify right side
    68,330x = 21,603,120,400
  5. Step 5: Solve for x
    x = 21,603,120,400/68,330
  6. Step 6: Final answer
    x = 316,158.65

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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.