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Finding the Third Proportional to 66,104.06 and 100,704.56

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Solution

The third proportional to 66,104.06 and 100,704.56 is: 153,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,104.06 : 100,704.56 = 100,704.56 : x
  2. Step 2: Convert to fraction form
    66,104.06/100,704.56 = 100,704.56/x
  3. Step 3: Cross multiply
    66,104.06x = 100,704.56 × 100,704.56
  4. Step 4: Simplify right side
    66,104.06x = 10,141,408,908.32
  5. Step 5: Solve for x
    x = 10,141,408,908.32/66,104.06
  6. Step 6: Final answer
    x = 153,415.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.