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Finding the Third Proportional to 66,180 and 137,706

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Solution

The third proportional to 66,180 and 137,706 is: 286,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,180 : 137,706 = 137,706 : x
  2. Step 2: Convert to fraction form
    66,180/137,706 = 137,706/x
  3. Step 3: Cross multiply
    66,180x = 137,706 × 137,706
  4. Step 4: Simplify right side
    66,180x = 18,962,942,436
  5. Step 5: Solve for x
    x = 18,962,942,436/66,180
  6. Step 6: Final answer
    x = 286,535.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.