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Finding the Third Proportional to 66,116 and 137,308

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Solution

The third proportional to 66,116 and 137,308 is: 285,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,116 : 137,308 = 137,308 : x
  2. Step 2: Convert to fraction form
    66,116/137,308 = 137,308/x
  3. Step 3: Cross multiply
    66,116x = 137,308 × 137,308
  4. Step 4: Simplify right side
    66,116x = 18,853,486,864
  5. Step 5: Solve for x
    x = 18,853,486,864/66,116
  6. Step 6: Final answer
    x = 285,157.71

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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.