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Finding the Third Proportional to 66,506.06 and 137,745.56

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Solution

The third proportional to 66,506.06 and 137,745.56 is: 285,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,506.06 : 137,745.56 = 137,745.56 : x
  2. Step 2: Convert to fraction form
    66,506.06/137,745.56 = 137,745.56/x
  3. Step 3: Cross multiply
    66,506.06x = 137,745.56 × 137,745.56
  4. Step 4: Simplify right side
    66,506.06x = 18,973,839,988.44
  5. Step 5: Solve for x
    x = 18,973,839,988.44/66,506.06
  6. Step 6: Final answer
    x = 285,294.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.