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Finding the Third Proportional to 68,916 and 151,800

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Solution

The third proportional to 68,916 and 151,800 is: 334,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,916 : 151,800 = 151,800 : x
  2. Step 2: Convert to fraction form
    68,916/151,800 = 151,800/x
  3. Step 3: Cross multiply
    68,916x = 151,800 × 151,800
  4. Step 4: Simplify right side
    68,916x = 23,043,240,000
  5. Step 5: Solve for x
    x = 23,043,240,000/68,916
  6. Step 6: Final answer
    x = 334,367.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.