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Finding the Third Proportional to 66,606 and 137,827.50

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Solution

The third proportional to 66,606 and 137,827.50 is: 285,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,606 : 137,827.50 = 137,827.50 : x
  2. Step 2: Convert to fraction form
    66,606/137,827.50 = 137,827.50/x
  3. Step 3: Cross multiply
    66,606x = 137,827.50 × 137,827.50
  4. Step 4: Simplify right side
    66,606x = 18,996,419,756.25
  5. Step 5: Solve for x
    x = 18,996,419,756.25/66,606
  6. Step 6: Final answer
    x = 285,205.83

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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.