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Finding the Third Proportional to 66,144 and 99,366

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Solution

The third proportional to 66,144 and 99,366 is: 149,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,144 : 99,366 = 99,366 : x
  2. Step 2: Convert to fraction form
    66,144/99,366 = 99,366/x
  3. Step 3: Cross multiply
    66,144x = 99,366 × 99,366
  4. Step 4: Simplify right side
    66,144x = 9,873,601,956
  5. Step 5: Solve for x
    x = 9,873,601,956/66,144
  6. Step 6: Final answer
    x = 149,274.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.