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Finding the Third Proportional to 68,820 and 101,949

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Solution

The third proportional to 68,820 and 101,949 is: 151,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,820 : 101,949 = 101,949 : x
  2. Step 2: Convert to fraction form
    68,820/101,949 = 101,949/x
  3. Step 3: Cross multiply
    68,820x = 101,949 × 101,949
  4. Step 4: Simplify right side
    68,820x = 10,393,598,601
  5. Step 5: Solve for x
    x = 10,393,598,601/68,820
  6. Step 6: Final answer
    x = 151,025.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.